Solve 3(r+2s)=2t-4 | Microsoft Math Solver

Type a math problem

Solve for r

r = \frac{2 ( - 3 s + t - 2 )}{3}

Steps for Solving Linear Equation

3 (r + 2 s) = 2 t - 4

Use the distributive property to multiply

3

r + 2 s

3 r + 6 s = 2 t - 4

Subtract

6 s

from both sides.

3 r = 2 t - 4 - 6 s

The equation is in standard form.

3 r = - 6 s + 2 t - 4

Divide both sides by

3

\frac{3 r}{3} = \frac{- 6 s + 2 t - 4}{3}

Dividing by

3

undoes the multiplication by

3

r = \frac{- 6 s + 2 t - 4}{3}

Divide

- 4 + 2 t - 6 s

3

r = \frac{2 t}{3} - 2 s - \frac{4}{3}

Solve for s

s = \frac{t}{3} - \frac{r}{2} - \frac{2}{3}

Steps for Solving Linear Equation

3 (r + 2 s) = 2 t - 4

Use the distributive property to multiply

3

r + 2 s

3 r + 6 s = 2 t - 4

Subtract

3 r

from both sides.

6 s = 2 t - 4 - 3 r

The equation is in standard form.

6 s = - 3 r + 2 t - 4

Divide both sides by

6

\frac{6 s}{6} = \frac{- 3 r + 2 t - 4}{6}

Dividing by

6

undoes the multiplication by

6

s = \frac{- 3 r + 2 t - 4}{6}

Divide

2 t - 4 - 3 r

6

s = \frac{t}{3} - \frac{r}{2} - \frac{2}{3}

Solve for t

t = \frac{3 r}{2} + 3 s + 2

Steps for Solving Linear Equation

3 (r + 2 s) = 2 t - 4

Use the distributive property to multiply

3

r + 2 s

3 r + 6 s = 2 t - 4

Swap sides so that all variable terms are on the left hand side.

2 t - 4 = 3 r + 6 s

Add

4

to both sides.

2 t = 3 r + 6 s + 4

Divide both sides by

2

\frac{2 t}{2} = \frac{3 r + 6 s + 4}{2}

Dividing by

2

undoes the multiplication by

2

t = \frac{3 r + 6 s + 4}{2}

Divide

3 r + 6 s + 4

2

t = \frac{3 r}{2} + 3 s + 2

Quiz

Linear Equation

10 problems similar to:

3 (r + 2 s) = 2 t - 4

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How do you solve

- 18 = - 3 r + 24

https://socratic.org/questions/how-do-you-solve-18-3r-24

r = 14

Explanation: Plus

3 r

to both sides:

3 r - 18 = - 3 r + 24 + 3 r

\Rightarrow 3 r - 18 = 24

...

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3r+6s=2t-4

Use the distributive property to multiply 3 by r+2s.

3r=2t-4-6s

Subtract 6s from both sides.

3r=-6s+2t-4

The equation is in standard form.

\frac{3r}{3}=\frac{-6s+2t-4}{3}

Divide both sides by 3.

r=\frac{-6s+2t-4}{3}

Dividing by 3 undoes the multiplication by 3.

r=\frac{2t}{3}-2s-\frac{4}{3}

Divide -4+2t-6s by 3.

3r+6s=2t-4

Use the distributive property to multiply 3 by r+2s.

6s=2t-4-3r

Subtract 3r from both sides.

6s=-3r+2t-4

The equation is in standard form.

\frac{6s}{6}=\frac{-3r+2t-4}{6}

Divide both sides by 6.

s=\frac{-3r+2t-4}{6}

Dividing by 6 undoes the multiplication by 6.

s=\frac{t}{3}-\frac{r}{2}-\frac{2}{3}

Divide 2t-4-3r by 6.

3r+6s=2t-4

Use the distributive property to multiply 3 by r+2s.

2t-4=3r+6s

Swap sides so that all variable terms are on the left hand side.

2t=3r+6s+4

Add 4 to both sides.

\frac{2t}{2}=\frac{3r+6s+4}{2}

Divide both sides by 2.

t=\frac{3r+6s+4}{2}

Dividing by 2 undoes the multiplication by 2.

t=\frac{3r}{2}+3s+2

Divide 3r+6s+4 by 2.

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