8[7-2(5x-9)]-13=5[4-7(3x-4)]+2

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Solution for 8[7-2(5x-9)]-13=5[4-7(3x-4)]+2 equation: 


Simplifying
8[7 + -2(5x + -9)] + -13 = 5[4 + -7(3x + -4)] + 2

Reorder the terms:
8[7 + -2(-9 + 5x)] + -13 = 5[4 + -7(3x + -4)] + 2
8[7 + (-9 * -2 + 5x * -2)] + -13 = 5[4 + -7(3x + -4)] + 2
8[7 + (18 + -10x)] + -13 = 5[4 + -7(3x + -4)] + 2

Combine like terms: 7 + 18 = 25
8[25 + -10x] + -13 = 5[4 + -7(3x + -4)] + 2
[25 * 8 + -10x * 8] + -13 = 5[4 + -7(3x + -4)] + 2
[200 + -80x] + -13 = 5[4 + -7(3x + -4)] + 2

Reorder the terms:
200 + -13 + -80x = 5[4 + -7(3x + -4)] + 2

Combine like terms: 200 + -13 = 187
187 + -80x = 5[4 + -7(3x + -4)] + 2

Reorder the terms:
187 + -80x = 5[4 + -7(-4 + 3x)] + 2
187 + -80x = 5[4 + (-4 * -7 + 3x * -7)] + 2
187 + -80x = 5[4 + (28 + -21x)] + 2

Combine like terms: 4 + 28 = 32
187 + -80x = 5[32 + -21x] + 2
187 + -80x = [32 * 5 + -21x * 5] + 2
187 + -80x = [160 + -105x] + 2

Reorder the terms:
187 + -80x = 160 + 2 + -105x

Combine like terms: 160 + 2 = 162
187 + -80x = 162 + -105x

Solving
187 + -80x = 162 + -105x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '105x' to each side of the equation.
187 + -80x + 105x = 162 + -105x + 105x

Combine like terms: -80x + 105x = 25x
187 + 25x = 162 + -105x + 105x

Combine like terms: -105x + 105x = 0
187 + 25x = 162 + 0
187 + 25x = 162

Add '-187' to each side of the equation.
187 + -187 + 25x = 162 + -187

Combine like terms: 187 + -187 = 0
0 + 25x = 162 + -187
25x = 162 + -187

Combine like terms: 162 + -187 = -25
25x = -25

Divide each side by '25'.
x = -1

Simplifying
x = -1

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