5x-10=13x+67

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Solution for 5x-10=13x+67 equation:


Simplifying
5x + -10 = 13x + 67

Reorder the terms:
-10 + 5x = 13x + 67

Reorder the terms:
-10 + 5x = 67 + 13x

Solving
-10 + 5x = 67 + 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.
-10 + 5x + -13x = 67 + 13x + -13x

Combine like terms: 5x + -13x = -8x
-10 + -8x = 67 + 13x + -13x

Combine like terms: 13x + -13x = 0
-10 + -8x = 67 + 0
-10 + -8x = 67

Add '10' to each side of the equation.
-10 + 10 + -8x = 67 + 10

Combine like terms: -10 + 10 = 0
0 + -8x = 67 + 10
-8x = 67 + 10

Combine like terms: 67 + 10 = 77
-8x = 77

Divide each side by '-8'.
x = -9.625

Simplifying
x = -9.625

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