6x+35=15x-37

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Solution for 6x+35=15x-37 equation:


Simplifying
6x + 35 = 15x + -37

Reorder the terms:
35 + 6x = 15x + -37

Reorder the terms:
35 + 6x = -37 + 15x

Solving
35 + 6x = -37 + 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.
35 + 6x + -15x = -37 + 15x + -15x

Combine like terms: 6x + -15x = -9x
35 + -9x = -37 + 15x + -15x

Combine like terms: 15x + -15x = 0
35 + -9x = -37 + 0
35 + -9x = -37

Add '-35' to each side of the equation.
35 + -35 + -9x = -37 + -35

Combine like terms: 35 + -35 = 0
0 + -9x = -37 + -35
-9x = -37 + -35

Combine like terms: -37 + -35 = -72
-9x = -72

Divide each side by '-9'.
x = 8

Simplifying
x = 8

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