5x-2+3x+4=10x-8

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Solution for 5x-2+3x+4=10x-8 equation:


Simplifying
5x + -2 + 3x + 4 = 10x + -8

Reorder the terms:
-2 + 4 + 5x + 3x = 10x + -8

Combine like terms: -2 + 4 = 2
2 + 5x + 3x = 10x + -8

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

Reorder the terms:
2 + 8x = -8 + 10x

Solving
2 + 8x = -8 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
2 + 8x + -10x = -8 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
2 + -2x = -8 + 0
2 + -2x = -8

Add '-2' to each side of the equation.
2 + -2 + -2x = -8 + -2

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

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

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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