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

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


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

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

Combine like terms: 20x + -6x = 14x
-8 + 14x = 5(2x + 4)

Reorder the terms:
-8 + 14x = 5(4 + 2x)
-8 + 14x = (4 * 5 + 2x * 5)
-8 + 14x = (20 + 10x)

Solving
-8 + 14x = 20 + 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.
-8 + 14x + -10x = 20 + 10x + -10x

Combine like terms: 14x + -10x = 4x
-8 + 4x = 20 + 10x + -10x

Combine like terms: 10x + -10x = 0
-8 + 4x = 20 + 0
-8 + 4x = 20

Add '8' to each side of the equation.
-8 + 8 + 4x = 20 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = 20 + 8
4x = 20 + 8

Combine like terms: 20 + 8 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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