4(x-5)-2(x+1)=-30

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Solution for 4(x-5)-2(x+1)=-30 equation: 


Simplifying
4(x + -5) + -2(x + 1) = -30

Reorder the terms:
4(-5 + x) + -2(x + 1) = -30
(-5 * 4 + x * 4) + -2(x + 1) = -30
(-20 + 4x) + -2(x + 1) = -30

Reorder the terms:
-20 + 4x + -2(1 + x) = -30
-20 + 4x + (1 * -2 + x * -2) = -30
-20 + 4x + (-2 + -2x) = -30

Reorder the terms:
-20 + -2 + 4x + -2x = -30

Combine like terms: -20 + -2 = -22
-22 + 4x + -2x = -30

Combine like terms: 4x + -2x = 2x
-22 + 2x = -30

Solving
-22 + 2x = -30

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 2x = -30 + 22

Combine like terms: -22 + 22 = 0
0 + 2x = -30 + 22
2x = -30 + 22

Combine like terms: -30 + 22 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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