4(2x+4)-2(x-4)=3x+60+x

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Solution for 4(2x+4)-2(x-4)=3x+60+x equation:


Simplifying
4(2x + 4) + -2(x + -4) = 3x + 60 + x

Reorder the terms:
4(4 + 2x) + -2(x + -4) = 3x + 60 + x
(4 * 4 + 2x * 4) + -2(x + -4) = 3x + 60 + x
(16 + 8x) + -2(x + -4) = 3x + 60 + x

Reorder the terms:
16 + 8x + -2(-4 + x) = 3x + 60 + x
16 + 8x + (-4 * -2 + x * -2) = 3x + 60 + x
16 + 8x + (8 + -2x) = 3x + 60 + x

Reorder the terms:
16 + 8 + 8x + -2x = 3x + 60 + x

Combine like terms: 16 + 8 = 24
24 + 8x + -2x = 3x + 60 + x

Combine like terms: 8x + -2x = 6x
24 + 6x = 3x + 60 + x

Reorder the terms:
24 + 6x = 60 + 3x + x

Combine like terms: 3x + x = 4x
24 + 6x = 60 + 4x

Solving
24 + 6x = 60 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
24 + 6x + -4x = 60 + 4x + -4x

Combine like terms: 6x + -4x = 2x
24 + 2x = 60 + 4x + -4x

Combine like terms: 4x + -4x = 0
24 + 2x = 60 + 0
24 + 2x = 60

Add '-24' to each side of the equation.
24 + -24 + 2x = 60 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = 60 + -24
2x = 60 + -24

Combine like terms: 60 + -24 = 36
2x = 36

Divide each side by '2'.
x = 18

Simplifying
x = 18

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