35(x+9)-3(26+4x)=13x-34+2x+33

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Solution for 35(x+9)-3(26+4x)=13x-34+2x+33 equation:


Simplifying
35(x + 9) + -3(26 + 4x) = 13x + -34 + 2x + 33

Reorder the terms:
35(9 + x) + -3(26 + 4x) = 13x + -34 + 2x + 33
(9 * 35 + x * 35) + -3(26 + 4x) = 13x + -34 + 2x + 33
(315 + 35x) + -3(26 + 4x) = 13x + -34 + 2x + 33
315 + 35x + (26 * -3 + 4x * -3) = 13x + -34 + 2x + 33
315 + 35x + (-78 + -12x) = 13x + -34 + 2x + 33

Reorder the terms:
315 + -78 + 35x + -12x = 13x + -34 + 2x + 33

Combine like terms: 315 + -78 = 237
237 + 35x + -12x = 13x + -34 + 2x + 33

Combine like terms: 35x + -12x = 23x
237 + 23x = 13x + -34 + 2x + 33

Reorder the terms:
237 + 23x = -34 + 33 + 13x + 2x

Combine like terms: -34 + 33 = -1
237 + 23x = -1 + 13x + 2x

Combine like terms: 13x + 2x = 15x
237 + 23x = -1 + 15x

Solving
237 + 23x = -1 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
237 + 23x + -15x = -1 + 15x + -15x

Combine like terms: 23x + -15x = 8x
237 + 8x = -1 + 15x + -15x

Combine like terms: 15x + -15x = 0
237 + 8x = -1 + 0
237 + 8x = -1

Add '-237' to each side of the equation.
237 + -237 + 8x = -1 + -237

Combine like terms: 237 + -237 = 0
0 + 8x = -1 + -237
8x = -1 + -237

Combine like terms: -1 + -237 = -238
8x = -238

Divide each side by '8'.
x = -29.75

Simplifying
x = -29.75

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