4(x+1)+2x=7+3(x-1)

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Solution for 4(x+1)+2x=7+3(x-1) equation:


Simplifying
4(x + 1) + 2x = 7 + 3(x + -1)

Reorder the terms:
4(1 + x) + 2x = 7 + 3(x + -1)
(1 * 4 + x * 4) + 2x = 7 + 3(x + -1)
(4 + 4x) + 2x = 7 + 3(x + -1)

Combine like terms: 4x + 2x = 6x
4 + 6x = 7 + 3(x + -1)

Reorder the terms:
4 + 6x = 7 + 3(-1 + x)
4 + 6x = 7 + (-1 * 3 + x * 3)
4 + 6x = 7 + (-3 + 3x)

Combine like terms: 7 + -3 = 4
4 + 6x = 4 + 3x

Add '-4' to each side of the equation.
4 + -4 + 6x = 4 + -4 + 3x

Combine like terms: 4 + -4 = 0
0 + 6x = 4 + -4 + 3x
6x = 4 + -4 + 3x

Combine like terms: 4 + -4 = 0
6x = 0 + 3x
6x = 3x

Solving
6x = 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.
6x + -3x = 3x + -3x

Combine like terms: 6x + -3x = 3x
3x = 3x + -3x

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

Divide each side by '3'.
x = 0

Simplifying
x = 0

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