10x+3=2x-13

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Solution for 10x+3=2x-13 equation:


Simplifying
10x + 3 = 2x + -13

Reorder the terms:
3 + 10x = 2x + -13

Reorder the terms:
3 + 10x = -13 + 2x

Solving
3 + 10x = -13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + 10x + -2x = -13 + 2x + -2x

Combine like terms: 10x + -2x = 8x
3 + 8x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 8x = -13 + 0
3 + 8x = -13

Add '-3' to each side of the equation.
3 + -3 + 8x = -13 + -3

Combine like terms: 3 + -3 = 0
0 + 8x = -13 + -3
8x = -13 + -3

Combine like terms: -13 + -3 = -16
8x = -16

Divide each side by '8'.
x = -2

Simplifying
x = -2

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