80(4x+14)=4(x+3)+x

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Solution for 80(4x+14)=4(x+3)+x equation:


Simplifying
80(4x + 14) = 4(x + 3) + x

Reorder the terms:
80(14 + 4x) = 4(x + 3) + x
(14 * 80 + 4x * 80) = 4(x + 3) + x
(1120 + 320x) = 4(x + 3) + x

Reorder the terms:
1120 + 320x = 4(3 + x) + x
1120 + 320x = (3 * 4 + x * 4) + x
1120 + 320x = (12 + 4x) + x

Combine like terms: 4x + x = 5x
1120 + 320x = 12 + 5x

Solving
1120 + 320x = 12 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1120 + 320x + -5x = 12 + 5x + -5x

Combine like terms: 320x + -5x = 315x
1120 + 315x = 12 + 5x + -5x

Combine like terms: 5x + -5x = 0
1120 + 315x = 12 + 0
1120 + 315x = 12

Add '-1120' to each side of the equation.
1120 + -1120 + 315x = 12 + -1120

Combine like terms: 1120 + -1120 = 0
0 + 315x = 12 + -1120
315x = 12 + -1120

Combine like terms: 12 + -1120 = -1108
315x = -1108

Divide each side by '315'.
x = -3.517460317

Simplifying
x = -3.517460317

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