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

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


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

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

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

Combine like terms: 5x + 4x = 9x
-5 + 9x = 10x + -2

Reorder the terms:
-5 + 9x = -2 + 10x

Solving
-5 + 9x = -2 + 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.
-5 + 9x + -10x = -2 + 10x + -10x

Combine like terms: 9x + -10x = -1x
-5 + -1x = -2 + 10x + -10x

Combine like terms: 10x + -10x = 0
-5 + -1x = -2 + 0
-5 + -1x = -2

Add '5' to each side of the equation.
-5 + 5 + -1x = -2 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -2 + 5
-1x = -2 + 5

Combine like terms: -2 + 5 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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