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

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


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

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

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

Combine like terms: 8 + 5 = 13
3 + 7x = 13 + -1x

Solving
3 + 7x = 13 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3 + 7x + x = 13 + -1x + x

Combine like terms: 7x + x = 8x
3 + 8x = 13 + -1x + x

Combine like terms: -1x + x = 0
3 + 8x = 13 + 0
3 + 8x = 13

Add '-3' to each side of the equation.
3 + -3 + 8x = 13 + -3

Combine like terms: 3 + -3 = 0
0 + 8x = 13 + -3
8x = 13 + -3

Combine like terms: 13 + -3 = 10
8x = 10

Divide each side by '8'.
x = 1.25

Simplifying
x = 1.25

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