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

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


Simplifying
7x + 3 = 2 + -1(5x + -8)

Reorder the terms:
3 + 7x = 2 + -1(5x + -8)

Reorder the terms:
3 + 7x = 2 + -1(-8 + 5x)
3 + 7x = 2 + (-8 * -1 + 5x * -1)
3 + 7x = 2 + (8 + -5x)

Combine like terms: 2 + 8 = 10
3 + 7x = 10 + -5x

Solving
3 + 7x = 10 + -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.
3 + 7x + 5x = 10 + -5x + 5x

Combine like terms: 7x + 5x = 12x
3 + 12x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
3 + 12x = 10 + 0
3 + 12x = 10

Add '-3' to each side of the equation.
3 + -3 + 12x = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 12x = 10 + -3
12x = 10 + -3

Combine like terms: 10 + -3 = 7
12x = 7

Divide each side by '12'.
x = 0.5833333333

Simplifying
x = 0.5833333333

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