Solve 5x+6(3x-1)=7x+4(x-2)+1

$$5x+6(3x-1)=7x+4(x-2)+1$$

Solve for x

$$x=-\frac{1}{12}\approx -0.083333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 3x-1.

$$5x+18x-6=7x+4\left(x-2\right)+1$$

Combine 5x and 18x to get 23x.

$$23x-6=7x+4\left(x-2\right)+1$$

Use the distributive property to multiply 4 by x-2.

$$23x-6=7x+4x-8+1$$

Combine 7x and 4x to get 11x.

$$23x-6=11x-8+1$$

Add -8 and 1 to get -7.

$$23x-6=11x-7$$

Subtract 11x from both sides.

$$23x-6-11x=-7$$

Combine 23x and -11x to get 12x.

$$12x-6=-7$$

Add 6 to both sides.

$$12x=-7+6$$

Add -7 and 6 to get -1.

$$12x=-1$$

Divide both sides by 12.

$$x=\frac{-1}{12}$$

Fraction \frac{-1}{12} can be rewritten as -\frac{1}{12} by extracting the negative sign.

$$x=-\frac{1}{12}$$