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

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


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

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

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

Combine like terms: 12 + 4 = 16
16 + 4x + -2x = 3(x + 1)

Combine like terms: 4x + -2x = 2x
16 + 2x = 3(x + 1)

Reorder the terms:
16 + 2x = 3(1 + x)
16 + 2x = (1 * 3 + x * 3)
16 + 2x = (3 + 3x)

Solving
16 + 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.
16 + 2x + -3x = 3 + 3x + -3x

Combine like terms: 2x + -3x = -1x
16 + -1x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -1x = 3 + 0
16 + -1x = 3

Add '-16' to each side of the equation.
16 + -16 + -1x = 3 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 3 + -16
-1x = 3 + -16

Combine like terms: 3 + -16 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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