7[6-9(x-1)]+7[(5x+3)-8]=13x-336

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Solution for 7[6-9(x-1)]+7[(5x+3)-8]=13x-336 equation: 


Simplifying
7[6 + -9(x + -1)] + 7[(5x + 3) + -8] = 13x + -336

Reorder the terms:
7[6 + -9(-1 + x)] + 7[(5x + 3) + -8] = 13x + -336
7[6 + (-1 * -9 + x * -9)] + 7[(5x + 3) + -8] = 13x + -336
7[6 + (9 + -9x)] + 7[(5x + 3) + -8] = 13x + -336

Combine like terms: 6 + 9 = 15
7[15 + -9x] + 7[(5x + 3) + -8] = 13x + -336
[15 * 7 + -9x * 7] + 7[(5x + 3) + -8] = 13x + -336
[105 + -63x] + 7[(5x + 3) + -8] = 13x + -336

Reorder the terms:
105 + -63x + 7[(3 + 5x) + -8] = 13x + -336

Remove parenthesis around (3 + 5x)
105 + -63x + 7[3 + 5x + -8] = 13x + -336

Reorder the terms:
105 + -63x + 7[3 + -8 + 5x] = 13x + -336

Combine like terms: 3 + -8 = -5
105 + -63x + 7[-5 + 5x] = 13x + -336
105 + -63x + [-5 * 7 + 5x * 7] = 13x + -336
105 + -63x + [-35 + 35x] = 13x + -336

Reorder the terms:
105 + -35 + -63x + 35x = 13x + -336

Combine like terms: 105 + -35 = 70
70 + -63x + 35x = 13x + -336

Combine like terms: -63x + 35x = -28x
70 + -28x = 13x + -336

Reorder the terms:
70 + -28x = -336 + 13x

Solving
70 + -28x = -336 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
70 + -28x + -13x = -336 + 13x + -13x

Combine like terms: -28x + -13x = -41x
70 + -41x = -336 + 13x + -13x

Combine like terms: 13x + -13x = 0
70 + -41x = -336 + 0
70 + -41x = -336

Add '-70' to each side of the equation.
70 + -70 + -41x = -336 + -70

Combine like terms: 70 + -70 = 0
0 + -41x = -336 + -70
-41x = -336 + -70

Combine like terms: -336 + -70 = -406
-41x = -406

Divide each side by '-41'.
x = 9.902439024

Simplifying
x = 9.902439024

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