-6(3(2)+2)=2x-5-20(2)-7

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Solution for -6(3(2)+2)=2x-5-20(2)-7 equation:


Simplifying
-6(3(2) + 2) = 2x + -5 + -20(2) + -7

Multiply 3 * 2
-6(6 + 2) = 2x + -5 + -20(2) + -7

Combine like terms: 6 + 2 = 8
-6(8) = 2x + -5 + -20(2) + -7

Multiply -6 * 8
-48 = 2x + -5 + -20(2) + -7

Multiply -20 * 2
-48 = 2x + -5 + -40 + -7

Reorder the terms:
-48 = -5 + -40 + -7 + 2x

Combine like terms: -5 + -40 = -45
-48 = -45 + -7 + 2x

Combine like terms: -45 + -7 = -52
-48 = -52 + 2x

Solving
-48 = -52 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-48 + -2x = -52 + 2x + -2x

Combine like terms: 2x + -2x = 0
-48 + -2x = -52 + 0
-48 + -2x = -52

Add '48' to each side of the equation.
-48 + 48 + -2x = -52 + 48

Combine like terms: -48 + 48 = 0
0 + -2x = -52 + 48
-2x = -52 + 48

Combine like terms: -52 + 48 = -4
-2x = -4

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

Simplifying
x = 2

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