-10x+3=5x+8

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Solution for -10x+3=5x+8 equation:


Simplifying
-10x + 3 = 5x + 8

Reorder the terms:
3 + -10x = 5x + 8

Reorder the terms:
3 + -10x = 8 + 5x

Solving
3 + -10x = 8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3 + -10x + -5x = 8 + 5x + -5x

Combine like terms: -10x + -5x = -15x
3 + -15x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -15x = 8 + 0
3 + -15x = 8

Add '-3' to each side of the equation.
3 + -3 + -15x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + -15x = 8 + -3
-15x = 8 + -3

Combine like terms: 8 + -3 = 5
-15x = 5

Divide each side by '-15'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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