7(x+4)-2x=10+4x-2

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Solution for 7(x+4)-2x=10+4x-2 equation:


Simplifying
7(x + 4) + -2x = 10 + 4x + -2

Reorder the terms:
7(4 + x) + -2x = 10 + 4x + -2
(4 * 7 + x * 7) + -2x = 10 + 4x + -2
(28 + 7x) + -2x = 10 + 4x + -2

Combine like terms: 7x + -2x = 5x
28 + 5x = 10 + 4x + -2

Reorder the terms:
28 + 5x = 10 + -2 + 4x

Combine like terms: 10 + -2 = 8
28 + 5x = 8 + 4x

Solving
28 + 5x = 8 + 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.
28 + 5x + -4x = 8 + 4x + -4x

Combine like terms: 5x + -4x = 1x
28 + 1x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
28 + 1x = 8 + 0
28 + 1x = 8

Add '-28' to each side of the equation.
28 + -28 + 1x = 8 + -28

Combine like terms: 28 + -28 = 0
0 + 1x = 8 + -28
1x = 8 + -28

Combine like terms: 8 + -28 = -20
1x = -20

Divide each side by '1'.
x = -20

Simplifying
x = -20

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