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 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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