4(x-1)-2(x+5)=32

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Solution for 4(x-1)-2(x+5)=32 equation: 


Simplifying
4(x + -1) + -2(x + 5) = 32

Reorder the terms:
4(-1 + x) + -2(x + 5) = 32
(-1 * 4 + x * 4) + -2(x + 5) = 32
(-4 + 4x) + -2(x + 5) = 32

Reorder the terms:
-4 + 4x + -2(5 + x) = 32
-4 + 4x + (5 * -2 + x * -2) = 32
-4 + 4x + (-10 + -2x) = 32

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

Combine like terms: -4 + -10 = -14
-14 + 4x + -2x = 32

Combine like terms: 4x + -2x = 2x
-14 + 2x = 32

Solving
-14 + 2x = 32

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 2x = 32 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = 32 + 14
2x = 32 + 14

Combine like terms: 32 + 14 = 46
2x = 46

Divide each side by '2'.
x = 23

Simplifying
x = 23

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