5(6x+2)-6(4x+7)=-20

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Solution for 5(6x+2)-6(4x+7)=-20 equation:


Simplifying
5(6x + 2) + -6(4x + 7) = -20

Reorder the terms:
5(2 + 6x) + -6(4x + 7) = -20
(2 * 5 + 6x * 5) + -6(4x + 7) = -20
(10 + 30x) + -6(4x + 7) = -20

Reorder the terms:
10 + 30x + -6(7 + 4x) = -20
10 + 30x + (7 * -6 + 4x * -6) = -20
10 + 30x + (-42 + -24x) = -20

Reorder the terms:
10 + -42 + 30x + -24x = -20

Combine like terms: 10 + -42 = -32
-32 + 30x + -24x = -20

Combine like terms: 30x + -24x = 6x
-32 + 6x = -20

Solving
-32 + 6x = -20

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 + 6x = -20 + 32

Combine like terms: -32 + 32 = 0
0 + 6x = -20 + 32
6x = -20 + 32

Combine like terms: -20 + 32 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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