4(2x+8)=2(5x+10)

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Solution for 4(2x+8)=2(5x+10) equation:


Simplifying
4(2x + 8) = 2(5x + 10)

Reorder the terms:
4(8 + 2x) = 2(5x + 10)
(8 * 4 + 2x * 4) = 2(5x + 10)
(32 + 8x) = 2(5x + 10)

Reorder the terms:
32 + 8x = 2(10 + 5x)
32 + 8x = (10 * 2 + 5x * 2)
32 + 8x = (20 + 10x)

Solving
32 + 8x = 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.
32 + 8x + -10x = 20 + 10x + -10x

Combine like terms: 8x + -10x = -2x
32 + -2x = 20 + 10x + -10x

Combine like terms: 10x + -10x = 0
32 + -2x = 20 + 0
32 + -2x = 20

Add '-32' to each side of the equation.
32 + -32 + -2x = 20 + -32

Combine like terms: 32 + -32 = 0
0 + -2x = 20 + -32
-2x = 20 + -32

Combine like terms: 20 + -32 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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