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

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


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

Reorder the terms:
4x + -2(-3 + x) + 4 = 7 + -1x
4x + (-3 * -2 + x * -2) + 4 = 7 + -1x
4x + (6 + -2x) + 4 = 7 + -1x

Reorder the terms:
6 + 4 + 4x + -2x = 7 + -1x

Combine like terms: 6 + 4 = 10
10 + 4x + -2x = 7 + -1x

Combine like terms: 4x + -2x = 2x
10 + 2x = 7 + -1x

Solving
10 + 2x = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
10 + 2x + x = 7 + -1x + x

Combine like terms: 2x + x = 3x
10 + 3x = 7 + -1x + x

Combine like terms: -1x + x = 0
10 + 3x = 7 + 0
10 + 3x = 7

Add '-10' to each side of the equation.
10 + -10 + 3x = 7 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 7 + -10
3x = 7 + -10

Combine like terms: 7 + -10 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1

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