10x+7=13x-11

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Solution for 10x+7=13x-11 equation:


Simplifying
10x + 7 = 13x + -11

Reorder the terms:
7 + 10x = 13x + -11

Reorder the terms:
7 + 10x = -11 + 13x

Solving
7 + 10x = -11 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
7 + 10x + -13x = -11 + 13x + -13x

Combine like terms: 10x + -13x = -3x
7 + -3x = -11 + 13x + -13x

Combine like terms: 13x + -13x = 0
7 + -3x = -11 + 0
7 + -3x = -11

Add '-7' to each side of the equation.
7 + -7 + -3x = -11 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = -11 + -7
-3x = -11 + -7

Combine like terms: -11 + -7 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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