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

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


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

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

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

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

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

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

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

Combine like terms: 10x + -10x = 0
-14 + 10x = 20 + 0
-14 + 10x = 20

Add '14' to each side of the equation.
-14 + 14 + 10x = 20 + 14

Combine like terms: -14 + 14 = 0
0 + 10x = 20 + 14
10x = 20 + 14

Combine like terms: 20 + 14 = 34
10x = 34

Divide each side by '10'.
x = 3.4

Simplifying
x = 3.4

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