10x-8-2=5x-15+3

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Solution for 10x-8-2=5x-15+3 equation:


Simplifying
10x + -8 + -2 = 5x + -15 + 3

Reorder the terms:
-8 + -2 + 10x = 5x + -15 + 3

Combine like terms: -8 + -2 = -10
-10 + 10x = 5x + -15 + 3

Reorder the terms:
-10 + 10x = -15 + 3 + 5x

Combine like terms: -15 + 3 = -12
-10 + 10x = -12 + 5x

Solving
-10 + 10x = -12 + 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.
-10 + 10x + -5x = -12 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-10 + 5x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + 5x = -12 + 0
-10 + 5x = -12

Add '10' to each side of the equation.
-10 + 10 + 5x = -12 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = -12 + 10
5x = -12 + 10

Combine like terms: -12 + 10 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4

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