4(x+6)-2(x-4)=30

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Solution for 4(x+6)-2(x-4)=30 equation: 


Simplifying
4(x + 6) + -2(x + -4) = 30

Reorder the terms:
4(6 + x) + -2(x + -4) = 30
(6 * 4 + x * 4) + -2(x + -4) = 30
(24 + 4x) + -2(x + -4) = 30

Reorder the terms:
24 + 4x + -2(-4 + x) = 30
24 + 4x + (-4 * -2 + x * -2) = 30
24 + 4x + (8 + -2x) = 30

Reorder the terms:
24 + 8 + 4x + -2x = 30

Combine like terms: 24 + 8 = 32
32 + 4x + -2x = 30

Combine like terms: 4x + -2x = 2x
32 + 2x = 30

Solving
32 + 2x = 30

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + 2x = 30 + -32

Combine like terms: 32 + -32 = 0
0 + 2x = 30 + -32
2x = 30 + -32

Combine like terms: 30 + -32 = -2
2x = -2

Divide each side by '2'.
x = -1

Simplifying
x = -1

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