Solve 5(12x+7)-2(4+3x)+26x-147=204-8(5x+3)+4(2x+9)

$$5 ( 12 x + 7 ) - 2 ( 4 + 3 x ) + 26 x - 147 = 204 - 8 ( 5 x + 3 ) + 4 ( 2 x + 9 )$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 12x+7.

$$60x+35-2\left(4+3x\right)+26x-147=204-8\left(5x+3\right)+4\left(2x+9\right)$$

Use the distributive property to multiply -2 by 4+3x.

$$60x+35-8-6x+26x-147=204-8\left(5x+3\right)+4\left(2x+9\right)$$

Subtract 8 from 35 to get 27.

$$60x+27-6x+26x-147=204-8\left(5x+3\right)+4\left(2x+9\right)$$

Combine 60x and -6x to get 54x.

$$54x+27+26x-147=204-8\left(5x+3\right)+4\left(2x+9\right)$$

Combine 54x and 26x to get 80x.

$$80x+27-147=204-8\left(5x+3\right)+4\left(2x+9\right)$$

Subtract 147 from 27 to get -120.

$$80x-120=204-8\left(5x+3\right)+4\left(2x+9\right)$$

Use the distributive property to multiply -8 by 5x+3.

$$80x-120=204-40x-24+4\left(2x+9\right)$$

Subtract 24 from 204 to get 180.

$$80x-120=180-40x+4\left(2x+9\right)$$

Use the distributive property to multiply 4 by 2x+9.

$$80x-120=180-40x+8x+36$$

Combine -40x and 8x to get -32x.

$$80x-120=180-32x+36$$

Add 180 and 36 to get 216.

$$80x-120=216-32x$$

Add 32x to both sides.

$$80x-120+32x=216$$

Combine 80x and 32x to get 112x.

$$112x-120=216$$

Add 120 to both sides.

$$112x=216+120$$

Add 216 and 120 to get 336.

$$112x=336$$

Divide both sides by 112.

$$x=\frac{336}{112}$$

Divide 336 by 112 to get 3.

$$x=3$$