4x+152=13x-10

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Solution for 4x+152=13x-10 equation:


Simplifying
4x + 152 = 13x + -10

Reorder the terms:
152 + 4x = 13x + -10

Reorder the terms:
152 + 4x = -10 + 13x

Solving
152 + 4x = -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.
152 + 4x + -13x = -10 + 13x + -13x

Combine like terms: 4x + -13x = -9x
152 + -9x = -10 + 13x + -13x

Combine like terms: 13x + -13x = 0
152 + -9x = -10 + 0
152 + -9x = -10

Add '-152' to each side of the equation.
152 + -152 + -9x = -10 + -152

Combine like terms: 152 + -152 = 0
0 + -9x = -10 + -152
-9x = -10 + -152

Combine like terms: -10 + -152 = -162
-9x = -162

Divide each side by '-9'.
x = 18

Simplifying
x = 18

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