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

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


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

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

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

Solving
-4 + 10x = 8 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-4 + 10x + -20x = 8 + 20x + -20x

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

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

Add '4' to each side of the equation.
-4 + 4 + -10x = 8 + 4

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

Combine like terms: 8 + 4 = 12
-10x = 12

Divide each side by '-10'.
x = -1.2

Simplifying
x = -1.2

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