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

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


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

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

Combine like terms: 7 + 6 = 13
13 + -3x = (7 + -1x) * 4 + -4x

Reorder the terms for easier multiplication:
13 + -3x = 4(7 + -1x) + -4x
13 + -3x = (7 * 4 + -1x * 4) + -4x
13 + -3x = (28 + -4x) + -4x

Combine like terms: -4x + -4x = -8x
13 + -3x = 28 + -8x

Solving
13 + -3x = 28 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
13 + -3x + 8x = 28 + -8x + 8x

Combine like terms: -3x + 8x = 5x
13 + 5x = 28 + -8x + 8x

Combine like terms: -8x + 8x = 0
13 + 5x = 28 + 0
13 + 5x = 28

Add '-13' to each side of the equation.
13 + -13 + 5x = 28 + -13

Combine like terms: 13 + -13 = 0
0 + 5x = 28 + -13
5x = 28 + -13

Combine like terms: 28 + -13 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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