5(x+2)+2x=6x-10

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Solution for 5(x+2)+2x=6x-10 equation:


Simplifying
5(x + 2) + 2x = 6x + -10

Reorder the terms:
5(2 + x) + 2x = 6x + -10
(2 * 5 + x * 5) + 2x = 6x + -10
(10 + 5x) + 2x = 6x + -10

Combine like terms: 5x + 2x = 7x
10 + 7x = 6x + -10

Reorder the terms:
10 + 7x = -10 + 6x

Solving
10 + 7x = -10 + 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.
10 + 7x + -6x = -10 + 6x + -6x

Combine like terms: 7x + -6x = 1x
10 + 1x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + 1x = -10 + 0
10 + 1x = -10

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

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

Combine like terms: -10 + -10 = -20
1x = -20

Divide each side by '1'.
x = -20

Simplifying
x = -20

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