x+3(2-x)=2(x+1)-4

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Solution for x+3(2-x)=2(x+1)-4 equation: 


Simplifying
x + 3(2 + -1x) = 2(x + 1) + -4
x + (2 * 3 + -1x * 3) = 2(x + 1) + -4
x + (6 + -3x) = 2(x + 1) + -4

Reorder the terms:
6 + x + -3x = 2(x + 1) + -4

Combine like terms: x + -3x = -2x
6 + -2x = 2(x + 1) + -4

Reorder the terms:
6 + -2x = 2(1 + x) + -4
6 + -2x = (1 * 2 + x * 2) + -4
6 + -2x = (2 + 2x) + -4

Reorder the terms:
6 + -2x = 2 + -4 + 2x

Combine like terms: 2 + -4 = -2
6 + -2x = -2 + 2x

Solving
6 + -2x = -2 + 2x

Solving for variable 'x'.

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

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

Combine like terms: -2x + -2x = -4x
6 + -4x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -4x = -2 + 0
6 + -4x = -2

Add '-6' to each side of the equation.
6 + -6 + -4x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -2 + -6
-4x = -2 + -6

Combine like terms: -2 + -6 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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