6x+37=10x-7

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Solution for 6x+37=10x-7 equation:


Simplifying
6x + 37 = 10x + -7

Reorder the terms:
37 + 6x = 10x + -7

Reorder the terms:
37 + 6x = -7 + 10x

Solving
37 + 6x = -7 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
37 + 6x + -10x = -7 + 10x + -10x

Combine like terms: 6x + -10x = -4x
37 + -4x = -7 + 10x + -10x

Combine like terms: 10x + -10x = 0
37 + -4x = -7 + 0
37 + -4x = -7

Add '-37' to each side of the equation.
37 + -37 + -4x = -7 + -37

Combine like terms: 37 + -37 = 0
0 + -4x = -7 + -37
-4x = -7 + -37

Combine like terms: -7 + -37 = -44
-4x = -44

Divide each side by '-4'.
x = 11

Simplifying
x = 11

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