5(2x+4)-3(2x-4)=2x+10

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Solution for 5(2x+4)-3(2x-4)=2x+10 equation:


Simplifying
5(2x + 4) + -3(2x + -4) = 2x + 10

Reorder the terms:
5(4 + 2x) + -3(2x + -4) = 2x + 10
(4 * 5 + 2x * 5) + -3(2x + -4) = 2x + 10
(20 + 10x) + -3(2x + -4) = 2x + 10

Reorder the terms:
20 + 10x + -3(-4 + 2x) = 2x + 10
20 + 10x + (-4 * -3 + 2x * -3) = 2x + 10
20 + 10x + (12 + -6x) = 2x + 10

Reorder the terms:
20 + 12 + 10x + -6x = 2x + 10

Combine like terms: 20 + 12 = 32
32 + 10x + -6x = 2x + 10

Combine like terms: 10x + -6x = 4x
32 + 4x = 2x + 10

Reorder the terms:
32 + 4x = 10 + 2x

Solving
32 + 4x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
32 + 4x + -2x = 10 + 2x + -2x

Combine like terms: 4x + -2x = 2x
32 + 2x = 10 + 2x + -2x

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

Add '-32' to each side of the equation.
32 + -32 + 2x = 10 + -32

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

Combine like terms: 10 + -32 = -22
2x = -22

Divide each side by '2'.
x = -11

Simplifying
x = -11

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