4(x-5)-2(6x+3)=22

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Solution for 4(x-5)-2(6x+3)=22 equation:


Simplifying
4(x + -5) + -2(6x + 3) = 22

Reorder the terms:
4(-5 + x) + -2(6x + 3) = 22
(-5 * 4 + x * 4) + -2(6x + 3) = 22
(-20 + 4x) + -2(6x + 3) = 22

Reorder the terms:
-20 + 4x + -2(3 + 6x) = 22
-20 + 4x + (3 * -2 + 6x * -2) = 22
-20 + 4x + (-6 + -12x) = 22

Reorder the terms:
-20 + -6 + 4x + -12x = 22

Combine like terms: -20 + -6 = -26
-26 + 4x + -12x = 22

Combine like terms: 4x + -12x = -8x
-26 + -8x = 22

Solving
-26 + -8x = 22

Solving for variable 'x'.

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

Add '26' to each side of the equation.
-26 + 26 + -8x = 22 + 26

Combine like terms: -26 + 26 = 0
0 + -8x = 22 + 26
-8x = 22 + 26

Combine like terms: 22 + 26 = 48
-8x = 48

Divide each side by '-8'.
x = -6

Simplifying
x = -6

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