Solve 3x/5-4/5(x+1)=2-3/10(3x-4)

$$\frac { 3 x } { 5 } - \frac { 4 } { 5 } ( x + 1 ) = 2 - \frac { 3 } { 10 } ( 3 x - 4 )$$

Solve for x

$$x = \frac{40}{7} = 5\frac{5}{7} \approx 5.714285714$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,10.

$$2\times 3x-8\left(x+1\right)=20-3\left(3x-4\right)$$

Multiply 2 and 3 to get 6.

$$6x-8\left(x+1\right)=20-3\left(3x-4\right)$$

Use the distributive property to multiply -8 by x+1.

$$6x-8x-8=20-3\left(3x-4\right)$$

Combine 6x and -8x to get -2x.

$$-2x-8=20-3\left(3x-4\right)$$

Use the distributive property to multiply -3 by 3x-4.

$$-2x-8=20-9x+12$$

Add 20 and 12 to get 32.

$$-2x-8=32-9x$$

Add 9x to both sides.

$$-2x-8+9x=32$$

Combine -2x and 9x to get 7x.

$$7x-8=32$$

Add 8 to both sides.

$$7x=32+8$$

Add 32 and 8 to get 40.

$$7x=40$$

Divide both sides by 7.

$$x=\frac{40}{7}$$