35+5x=3(-x+8)-37

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Solution for 35+5x=3(-x+8)-37 equation:


Simplifying
35 + 5x = 3(-1x + 8) + -37

Reorder the terms:
35 + 5x = 3(8 + -1x) + -37
35 + 5x = (8 * 3 + -1x * 3) + -37
35 + 5x = (24 + -3x) + -37

Reorder the terms:
35 + 5x = 24 + -37 + -3x

Combine like terms: 24 + -37 = -13
35 + 5x = -13 + -3x

Solving
35 + 5x = -13 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
35 + 5x + 3x = -13 + -3x + 3x

Combine like terms: 5x + 3x = 8x
35 + 8x = -13 + -3x + 3x

Combine like terms: -3x + 3x = 0
35 + 8x = -13 + 0
35 + 8x = -13

Add '-35' to each side of the equation.
35 + -35 + 8x = -13 + -35

Combine like terms: 35 + -35 = 0
0 + 8x = -13 + -35
8x = -13 + -35

Combine like terms: -13 + -35 = -48
8x = -48

Divide each side by '8'.
x = -6

Simplifying
x = -6

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