4(x+5)-2(x+6)=x+16

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Solution for 4(x+5)-2(x+6)=x+16 equation: 


Simplifying
4(x + 5) + -2(x + 6) = x + 16

Reorder the terms:
4(5 + x) + -2(x + 6) = x + 16
(5 * 4 + x * 4) + -2(x + 6) = x + 16
(20 + 4x) + -2(x + 6) = x + 16

Reorder the terms:
20 + 4x + -2(6 + x) = x + 16
20 + 4x + (6 * -2 + x * -2) = x + 16
20 + 4x + (-12 + -2x) = x + 16

Reorder the terms:
20 + -12 + 4x + -2x = x + 16

Combine like terms: 20 + -12 = 8
8 + 4x + -2x = x + 16

Combine like terms: 4x + -2x = 2x
8 + 2x = x + 16

Reorder the terms:
8 + 2x = 16 + x

Solving
8 + 2x = 16 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + 2x + -1x = 16 + x + -1x

Combine like terms: 2x + -1x = 1x
8 + 1x = 16 + x + -1x

Combine like terms: x + -1x = 0
8 + 1x = 16 + 0
8 + 1x = 16

Add '-8' to each side of the equation.
8 + -8 + 1x = 16 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 16 + -8
1x = 16 + -8

Combine like terms: 16 + -8 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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