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

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


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

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

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

Combine like terms: 5 + 8 = 13
3 + 2x = 13 + -7x

Solving
3 + 2x = 13 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
3 + 2x + 7x = 13 + -7x + 7x

Combine like terms: 2x + 7x = 9x
3 + 9x = 13 + -7x + 7x

Combine like terms: -7x + 7x = 0
3 + 9x = 13 + 0
3 + 9x = 13

Add '-3' to each side of the equation.
3 + -3 + 9x = 13 + -3

Combine like terms: 3 + -3 = 0
0 + 9x = 13 + -3
9x = 13 + -3

Combine like terms: 13 + -3 = 10
9x = 10

Divide each side by '9'.
x = 1.111111111

Simplifying
x = 1.111111111

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