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

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


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

Reorder the terms:
2(4 + 5x) + -2x + 4(6x + 5) = 4x
(4 * 2 + 5x * 2) + -2x + 4(6x + 5) = 4x
(8 + 10x) + -2x + 4(6x + 5) = 4x

Reorder the terms:
8 + 10x + -2x + 4(5 + 6x) = 4x
8 + 10x + -2x + (5 * 4 + 6x * 4) = 4x
8 + 10x + -2x + (20 + 24x) = 4x

Reorder the terms:
8 + 20 + 10x + -2x + 24x = 4x

Combine like terms: 8 + 20 = 28
28 + 10x + -2x + 24x = 4x

Combine like terms: 10x + -2x = 8x
28 + 8x + 24x = 4x

Combine like terms: 8x + 24x = 32x
28 + 32x = 4x

Solving
28 + 32x = 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 + 32x + -4x = 4x + -4x

Combine like terms: 32x + -4x = 28x
28 + 28x = 4x + -4x

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

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

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

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

Divide each side by '28'.
x = -1

Simplifying
x = -1

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