6x+7=10x-13

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Solution for 6x+7=10x-13 equation:


Simplifying
6x + 7 = 10x + -13

Reorder the terms:
7 + 6x = 10x + -13

Reorder the terms:
7 + 6x = -13 + 10x

Solving
7 + 6x = -13 + 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.
7 + 6x + -10x = -13 + 10x + -10x

Combine like terms: 6x + -10x = -4x
7 + -4x = -13 + 10x + -10x

Combine like terms: 10x + -10x = 0
7 + -4x = -13 + 0
7 + -4x = -13

Add '-7' to each side of the equation.
7 + -7 + -4x = -13 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = -13 + -7
-4x = -13 + -7

Combine like terms: -13 + -7 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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