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

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


Simplifying
5x + 2(14 + -1x) = 5x + -1(28 + -1x) + 4x
5x + (14 * 2 + -1x * 2) = 5x + -1(28 + -1x) + 4x
5x + (28 + -2x) = 5x + -1(28 + -1x) + 4x

Reorder the terms:
28 + 5x + -2x = 5x + -1(28 + -1x) + 4x

Combine like terms: 5x + -2x = 3x
28 + 3x = 5x + -1(28 + -1x) + 4x
28 + 3x = 5x + (28 * -1 + -1x * -1) + 4x
28 + 3x = 5x + (-28 + 1x) + 4x

Reorder the terms:
28 + 3x = -28 + 5x + 1x + 4x

Combine like terms: 5x + 1x = 6x
28 + 3x = -28 + 6x + 4x

Combine like terms: 6x + 4x = 10x
28 + 3x = -28 + 10x

Solving
28 + 3x = -28 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
28 + 3x + -10x = -28 + 10x + -10x

Combine like terms: 3x + -10x = -7x
28 + -7x = -28 + 10x + -10x

Combine like terms: 10x + -10x = 0
28 + -7x = -28 + 0
28 + -7x = -28

Add '-28' to each side of the equation.
28 + -28 + -7x = -28 + -28

Combine like terms: 28 + -28 = 0
0 + -7x = -28 + -28
-7x = -28 + -28

Combine like terms: -28 + -28 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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