3(x-2)-10=4x-6+x

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Solution for 3(x-2)-10=4x-6+x equation:


Simplifying
3(x + -2) + -10 = 4x + -6 + x

Reorder the terms:
3(-2 + x) + -10 = 4x + -6 + x
(-2 * 3 + x * 3) + -10 = 4x + -6 + x
(-6 + 3x) + -10 = 4x + -6 + x

Reorder the terms:
-6 + -10 + 3x = 4x + -6 + x

Combine like terms: -6 + -10 = -16
-16 + 3x = 4x + -6 + x

Reorder the terms:
-16 + 3x = -6 + 4x + x

Combine like terms: 4x + x = 5x
-16 + 3x = -6 + 5x

Solving
-16 + 3x = -6 + 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.
-16 + 3x + -5x = -6 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-16 + -2x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + -2x = -6 + 0
-16 + -2x = -6

Add '16' to each side of the equation.
-16 + 16 + -2x = -6 + 16

Combine like terms: -16 + 16 = 0
0 + -2x = -6 + 16
-2x = -6 + 16

Combine like terms: -6 + 16 = 10
-2x = 10

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

Simplifying
x = -5

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