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

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


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

Reorder the terms:
4(-2 + x) + -2x = 10 + 3(x + -3)
(-2 * 4 + x * 4) + -2x = 10 + 3(x + -3)
(-8 + 4x) + -2x = 10 + 3(x + -3)

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

Reorder the terms:
-8 + 2x = 10 + 3(-3 + x)
-8 + 2x = 10 + (-3 * 3 + x * 3)
-8 + 2x = 10 + (-9 + 3x)

Combine like terms: 10 + -9 = 1
-8 + 2x = 1 + 3x

Solving
-8 + 2x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + 2x + -3x = 1 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-8 + -1x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + -1x = 1 + 0
-8 + -1x = 1

Add '8' to each side of the equation.
-8 + 8 + -1x = 1 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 1 + 8
-1x = 1 + 8

Combine like terms: 1 + 8 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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