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

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Solution for 5x-8=3-7(x-1) equation:


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

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

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

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

Solving
-8 + 5x = 10 + -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.
-8 + 5x + 7x = 10 + -7x + 7x

Combine like terms: 5x + 7x = 12x
-8 + 12x = 10 + -7x + 7x

Combine like terms: -7x + 7x = 0
-8 + 12x = 10 + 0
-8 + 12x = 10

Add '8' to each side of the equation.
-8 + 8 + 12x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 12x = 10 + 8
12x = 10 + 8

Combine like terms: 10 + 8 = 18
12x = 18

Divide each side by '12'.
x = 1.5

Simplifying
x = 1.5

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