Solve (-7(2x+1))=2(6-5x)-13

$$( - 7 ( 2 x + 1 ) ) = 2 ( 6 - 5 x ) - 13$$

Solve for x

$$x = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -7 by 2x+1.

$$-14x-7=2\left(6-5x\right)-13$$

Use the distributive property to multiply 2 by 6-5x.

$$-14x-7=12-10x-13$$

Subtract 13 from 12 to get -1.

$$-14x-7=-1-10x$$

Add 10x to both sides.

$$-14x-7+10x=-1$$

Combine -14x and 10x to get -4x.

$$-4x-7=-1$$

Add 7 to both sides.

$$-4x=-1+7$$

Add -1 and 7 to get 6.

$$-4x=6$$

Divide both sides by -4.

$$x=\frac{6}{-4}$$

Reduce the fraction \frac{6}{-4} to lowest terms by extracting and canceling out 2.

$$x=-\frac{3}{2}$$