4(x+7)-5x=6-2x

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Solution for 4(x+7)-5x=6-2x equation:


Simplifying
4(x + 7) + -5x = 6 + -2x

Reorder the terms:
4(7 + x) + -5x = 6 + -2x
(7 * 4 + x * 4) + -5x = 6 + -2x
(28 + 4x) + -5x = 6 + -2x

Combine like terms: 4x + -5x = -1x
28 + -1x = 6 + -2x

Solving
28 + -1x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
28 + -1x + 2x = 6 + -2x + 2x

Combine like terms: -1x + 2x = 1x
28 + 1x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
28 + 1x = 6 + 0
28 + 1x = 6

Add '-28' to each side of the equation.
28 + -28 + 1x = 6 + -28

Combine like terms: 28 + -28 = 0
0 + 1x = 6 + -28
1x = 6 + -28

Combine like terms: 6 + -28 = -22
1x = -22

Divide each side by '1'.
x = -22

Simplifying
x = -22

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