2(5x-2)=4(2x+3)

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Solution for 2(5x-2)=4(2x+3) equation:


Simplifying
2(5x + -2) = 4(2x + 3)

Reorder the terms:
2(-2 + 5x) = 4(2x + 3)
(-2 * 2 + 5x * 2) = 4(2x + 3)
(-4 + 10x) = 4(2x + 3)

Reorder the terms:
-4 + 10x = 4(3 + 2x)
-4 + 10x = (3 * 4 + 2x * 4)
-4 + 10x = (12 + 8x)

Solving
-4 + 10x = 12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-4 + 10x + -8x = 12 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-4 + 2x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + 2x = 12 + 0
-4 + 2x = 12

Add '4' to each side of the equation.
-4 + 4 + 2x = 12 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = 12 + 4
2x = 12 + 4

Combine like terms: 12 + 4 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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