Solve 2x+7-5x+8=3(5+6x)-12

$$2 x + 7 - 5 x + 8 = 3 ( 5 + 6 x ) - 12$$

Solve for x

$$x=\frac{4}{7}\approx 0.571428571$$

Steps for Solving Linear Equation

Combine 2x and -5x to get -3x.

$$-3x+7+8=3\left(5+6x\right)-12$$

Add 7 and 8 to get 15.

$$-3x+15=3\left(5+6x\right)-12$$

Use the distributive property to multiply 3 by 5+6x.

$$-3x+15=15+18x-12$$

Subtract 12 from 15 to get 3.

$$-3x+15=3+18x$$

Subtract 18x from both sides.

$$-3x+15-18x=3$$

Combine -3x and -18x to get -21x.

$$-21x+15=3$$

Subtract 15 from both sides.

$$-21x=3-15$$

Subtract 15 from 3 to get -12.

$$-21x=-12$$

Divide both sides by -21.

$$x=\frac{-12}{-21}$$

Reduce the fraction \frac{-12}{-21} to lowest terms by extracting and canceling out -3.

$$x=\frac{4}{7}$$