2(5+2x)-10=3(2x+4)-10

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Solution for 2(5+2x)-10=3(2x+4)-10 equation:


Simplifying
2(5 + 2x) + -10 = 3(2x + 4) + -10
(5 * 2 + 2x * 2) + -10 = 3(2x + 4) + -10
(10 + 4x) + -10 = 3(2x + 4) + -10

Reorder the terms:
10 + -10 + 4x = 3(2x + 4) + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 3(2x + 4) + -10
4x = 3(2x + 4) + -10

Reorder the terms:
4x = 3(4 + 2x) + -10
4x = (4 * 3 + 2x * 3) + -10
4x = (12 + 6x) + -10

Reorder the terms:
4x = 12 + -10 + 6x

Combine like terms: 12 + -10 = 2
4x = 2 + 6x

Solving
4x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4x + -6x = 2 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-2x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2x = 2 + 0
-2x = 2

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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