3x+150=13x-10

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Solution for 3x+150=13x-10 equation:


Simplifying
3x + 150 = 13x + -10

Reorder the terms:
150 + 3x = 13x + -10

Reorder the terms:
150 + 3x = -10 + 13x

Solving
150 + 3x = -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.
150 + 3x + -13x = -10 + 13x + -13x

Combine like terms: 3x + -13x = -10x
150 + -10x = -10 + 13x + -13x

Combine like terms: 13x + -13x = 0
150 + -10x = -10 + 0
150 + -10x = -10

Add '-150' to each side of the equation.
150 + -150 + -10x = -10 + -150

Combine like terms: 150 + -150 = 0
0 + -10x = -10 + -150
-10x = -10 + -150

Combine like terms: -10 + -150 = -160
-10x = -160

Divide each side by '-10'.
x = 16

Simplifying
x = 16

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