2x+7-(-3+5x)=15+(5-5x)

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Solution for 2x+7-(-3+5x)=15+(5-5x) equation:


Simplifying
2x + 7 + -1(-3 + 5x) = 15 + (5 + -5x)
2x + 7 + (-3 * -1 + 5x * -1) = 15 + (5 + -5x)
2x + 7 + (3 + -5x) = 15 + (5 + -5x)

Reorder the terms:
7 + 3 + 2x + -5x = 15 + (5 + -5x)

Combine like terms: 7 + 3 = 10
10 + 2x + -5x = 15 + (5 + -5x)

Combine like terms: 2x + -5x = -3x
10 + -3x = 15 + (5 + -5x)

Remove parenthesis around (5 + -5x)
10 + -3x = 15 + 5 + -5x

Combine like terms: 15 + 5 = 20
10 + -3x = 20 + -5x

Solving
10 + -3x = 20 + -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 + -3x + 5x = 20 + -5x + 5x

Combine like terms: -3x + 5x = 2x
10 + 2x = 20 + -5x + 5x

Combine like terms: -5x + 5x = 0
10 + 2x = 20 + 0
10 + 2x = 20

Add '-10' to each side of the equation.
10 + -10 + 2x = 20 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 20 + -10
2x = 20 + -10

Combine like terms: 20 + -10 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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