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

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

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x+1.

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

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

$$5x+5=-8x+8+7x$$

Combine -8x and 7x to get -x.

$$5x+5=-x+8$$

Add x to both sides.

$$5x+5+x=8$$

Combine 5x and x to get 6x.

$$6x+5=8$$

Subtract 5 from both sides.

$$6x=8-5$$

Subtract 5 from 8 to get 3.

$$6x=3$$

Divide both sides by 6.

$$x=\frac{3}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$x=\frac{1}{2}$$