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

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


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

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

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

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

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

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

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

Solving
4 + 3x = -4 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
4 + 3x + -7x = -4 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
4 + -4x = -4 + 0
4 + -4x = -4

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

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

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

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

Simplifying
x = 2

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