Solve 13x-(7+8x)+(12+7x)=15-(-11x+18)

$$13 x - ( 7 + 8 x ) + ( 12 + 7 x ) = 15 - ( - 11 x + 18 )$$

Solve for x

$$x=-8$$

Steps for Solving Linear Equation

To find the opposite of 7+8x, find the opposite of each term.

$$13x-7-8x+12+7x=15-\left(-11x+18\right)$$

Combine 13x and -8x to get 5x.

$$5x-7+12+7x=15-\left(-11x+18\right)$$

Add -7 and 12 to get 5.

$$5x+5+7x=15-\left(-11x+18\right)$$

Combine 5x and 7x to get 12x.

$$12x+5=15-\left(-11x+18\right)$$

To find the opposite of -11x+18, find the opposite of each term.

$$12x+5=15-\left(-11x\right)-18$$

The opposite of -11x is 11x.

$$12x+5=15+11x-18$$

Subtract 18 from 15 to get -3.

$$12x+5=-3+11x$$

Subtract 11x from both sides.

$$12x+5-11x=-3$$

Combine 12x and -11x to get x.

$$x+5=-3$$

Subtract 5 from both sides.

$$x=-3-5$$

Subtract 5 from -3 to get -8.

$$x=-8$$