5x+2-8x+7=5-2(x+3)

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Solution for 5x+2-8x+7=5-2(x+3) equation: 


Simplifying
5x + 2 + -8x + 7 = 5 + -2(x + 3)

Reorder the terms:
2 + 7 + 5x + -8x = 5 + -2(x + 3)

Combine like terms: 2 + 7 = 9
9 + 5x + -8x = 5 + -2(x + 3)

Combine like terms: 5x + -8x = -3x
9 + -3x = 5 + -2(x + 3)

Reorder the terms:
9 + -3x = 5 + -2(3 + x)
9 + -3x = 5 + (3 * -2 + x * -2)
9 + -3x = 5 + (-6 + -2x)

Combine like terms: 5 + -6 = -1
9 + -3x = -1 + -2x

Solving
9 + -3x = -1 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
9 + -3x + 2x = -1 + -2x + 2x

Combine like terms: -3x + 2x = -1x
9 + -1x = -1 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + -1x = -1 + 0
9 + -1x = -1

Add '-9' to each side of the equation.
9 + -9 + -1x = -1 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = -1 + -9
-1x = -1 + -9

Combine like terms: -1 + -9 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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