2(5+2x)=5(x-6)+33

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Solution for 2(5+2x)=5(x-6)+33 equation: 


Simplifying
2(5 + 2x) = 5(x + -6) + 33
(5 * 2 + 2x * 2) = 5(x + -6) + 33
(10 + 4x) = 5(x + -6) + 33

Reorder the terms:
10 + 4x = 5(-6 + x) + 33
10 + 4x = (-6 * 5 + x * 5) + 33
10 + 4x = (-30 + 5x) + 33

Reorder the terms:
10 + 4x = -30 + 33 + 5x

Combine like terms: -30 + 33 = 3
10 + 4x = 3 + 5x

Solving
10 + 4x = 3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10 + 4x + -5x = 3 + 5x + -5x

Combine like terms: 4x + -5x = -1x
10 + -1x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -1x = 3 + 0
10 + -1x = 3

Add '-10' to each side of the equation.
10 + -10 + -1x = 3 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 3 + -10
-1x = 3 + -10

Combine like terms: 3 + -10 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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