10x+5=8x-3

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


Simplifying
10x + 5 = 8x + -3

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

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

Solving
5 + 10x = -3 + 8x

Solving for variable 'x'.

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

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

Combine like terms: 10x + -8x = 2x
5 + 2x = -3 + 8x + -8x

Combine like terms: 8x + -8x = 0
5 + 2x = -3 + 0
5 + 2x = -3

Add '-5' to each side of the equation.
5 + -5 + 2x = -3 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = -3 + -5
2x = -3 + -5

Combine like terms: -3 + -5 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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