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

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


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

Reorder the terms:
-4(-3 + x) + x = 4(7 + -1x)
(-3 * -4 + x * -4) + x = 4(7 + -1x)
(12 + -4x) + x = 4(7 + -1x)

Combine like terms: -4x + x = -3x
12 + -3x = 4(7 + -1x)
12 + -3x = (7 * 4 + -1x * 4)
12 + -3x = (28 + -4x)

Solving
12 + -3x = 28 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
12 + -3x + 4x = 28 + -4x + 4x

Combine like terms: -3x + 4x = 1x
12 + 1x = 28 + -4x + 4x

Combine like terms: -4x + 4x = 0
12 + 1x = 28 + 0
12 + 1x = 28

Add '-12' to each side of the equation.
12 + -12 + 1x = 28 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 28 + -12
1x = 28 + -12

Combine like terms: 28 + -12 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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