5(4x+28)-20x=-7(4x+2)+14

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Solution for 5(4x+28)-20x=-7(4x+2)+14 equation:


Simplifying
5(4x + 28) + -20x = -7(4x + 2) + 14

Reorder the terms:
5(28 + 4x) + -20x = -7(4x + 2) + 14
(28 * 5 + 4x * 5) + -20x = -7(4x + 2) + 14
(140 + 20x) + -20x = -7(4x + 2) + 14

Combine like terms: 20x + -20x = 0
140 + 0 = -7(4x + 2) + 14
140 = -7(4x + 2) + 14

Reorder the terms:
140 = -7(2 + 4x) + 14
140 = (2 * -7 + 4x * -7) + 14
140 = (-14 + -28x) + 14

Reorder the terms:
140 = -14 + 14 + -28x

Combine like terms: -14 + 14 = 0
140 = 0 + -28x
140 = -28x

Solving
140 = -28x

Solving for variable 'x'.

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

Add '28x' to each side of the equation.
140 + 28x = -28x + 28x

Combine like terms: -28x + 28x = 0
140 + 28x = 0

Add '-140' to each side of the equation.
140 + -140 + 28x = 0 + -140

Combine like terms: 140 + -140 = 0
0 + 28x = 0 + -140
28x = 0 + -140

Combine like terms: 0 + -140 = -140
28x = -140

Divide each side by '28'.
x = -5

Simplifying
x = -5

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