2(x+2)-(x-3)=6x+10

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Solution for 2(x+2)-(x-3)=6x+10 equation: 


Simplifying
2(x + 2) + -1(x + -3) = 6x + 10

Reorder the terms:
2(2 + x) + -1(x + -3) = 6x + 10
(2 * 2 + x * 2) + -1(x + -3) = 6x + 10
(4 + 2x) + -1(x + -3) = 6x + 10

Reorder the terms:
4 + 2x + -1(-3 + x) = 6x + 10
4 + 2x + (-3 * -1 + x * -1) = 6x + 10
4 + 2x + (3 + -1x) = 6x + 10

Reorder the terms:
4 + 3 + 2x + -1x = 6x + 10

Combine like terms: 4 + 3 = 7
7 + 2x + -1x = 6x + 10

Combine like terms: 2x + -1x = 1x
7 + 1x = 6x + 10

Reorder the terms:
7 + 1x = 10 + 6x

Solving
7 + 1x = 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.
7 + 1x + -6x = 10 + 6x + -6x

Combine like terms: 1x + -6x = -5x
7 + -5x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
7 + -5x = 10 + 0
7 + -5x = 10

Add '-7' to each side of the equation.
7 + -7 + -5x = 10 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 10 + -7
-5x = 10 + -7

Combine like terms: 10 + -7 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

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