6x+67=13x-10

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Solution for 6x+67=13x-10 equation:


Simplifying
6x + 67 = 13x + -10

Reorder the terms:
67 + 6x = 13x + -10

Reorder the terms:
67 + 6x = -10 + 13x

Solving
67 + 6x = -10 + 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.
67 + 6x + -13x = -10 + 13x + -13x

Combine like terms: 6x + -13x = -7x
67 + -7x = -10 + 13x + -13x

Combine like terms: 13x + -13x = 0
67 + -7x = -10 + 0
67 + -7x = -10

Add '-67' to each side of the equation.
67 + -67 + -7x = -10 + -67

Combine like terms: 67 + -67 = 0
0 + -7x = -10 + -67
-7x = -10 + -67

Combine like terms: -10 + -67 = -77
-7x = -77

Divide each side by '-7'.
x = 11

Simplifying
x = 11

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