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

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Solution for 7(x-1)+8=5(7-x) equation:


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

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

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

Combine like terms: -7 + 8 = 1
1 + 7x = 5(7 + -1x)
1 + 7x = (7 * 5 + -1x * 5)
1 + 7x = (35 + -5x)

Solving
1 + 7x = 35 + -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.
1 + 7x + 5x = 35 + -5x + 5x

Combine like terms: 7x + 5x = 12x
1 + 12x = 35 + -5x + 5x

Combine like terms: -5x + 5x = 0
1 + 12x = 35 + 0
1 + 12x = 35

Add '-1' to each side of the equation.
1 + -1 + 12x = 35 + -1

Combine like terms: 1 + -1 = 0
0 + 12x = 35 + -1
12x = 35 + -1

Combine like terms: 35 + -1 = 34
12x = 34

Divide each side by '12'.
x = 2.833333333

Simplifying
x = 2.833333333

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