4(x+2)-2(x-5)=30

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Solution for 4(x+2)-2(x-5)=30 equation: 


Simplifying
4(x + 2) + -2(x + -5) = 30

Reorder the terms:
4(2 + x) + -2(x + -5) = 30
(2 * 4 + x * 4) + -2(x + -5) = 30
(8 + 4x) + -2(x + -5) = 30

Reorder the terms:
8 + 4x + -2(-5 + x) = 30
8 + 4x + (-5 * -2 + x * -2) = 30
8 + 4x + (10 + -2x) = 30

Reorder the terms:
8 + 10 + 4x + -2x = 30

Combine like terms: 8 + 10 = 18
18 + 4x + -2x = 30

Combine like terms: 4x + -2x = 2x
18 + 2x = 30

Solving
18 + 2x = 30

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 2x = 30 + -18

Combine like terms: 18 + -18 = 0
0 + 2x = 30 + -18
2x = 30 + -18

Combine like terms: 30 + -18 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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