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

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


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

Reorder the terms:
4(3 + x) + -2(x + -1) = 3x + 3
(3 * 4 + x * 4) + -2(x + -1) = 3x + 3
(12 + 4x) + -2(x + -1) = 3x + 3

Reorder the terms:
12 + 4x + -2(-1 + x) = 3x + 3
12 + 4x + (-1 * -2 + x * -2) = 3x + 3
12 + 4x + (2 + -2x) = 3x + 3

Reorder the terms:
12 + 2 + 4x + -2x = 3x + 3

Combine like terms: 12 + 2 = 14
14 + 4x + -2x = 3x + 3

Combine like terms: 4x + -2x = 2x
14 + 2x = 3x + 3

Reorder the terms:
14 + 2x = 3 + 3x

Solving
14 + 2x = 3 + 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.
14 + 2x + -3x = 3 + 3x + -3x

Combine like terms: 2x + -3x = -1x
14 + -1x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -1x = 3 + 0
14 + -1x = 3

Add '-14' to each side of the equation.
14 + -14 + -1x = 3 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 3 + -14
-1x = 3 + -14

Combine like terms: 3 + -14 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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