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

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


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

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

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

Reorder the terms:
13 + -5x = 7 + 3x

Solving
13 + -5x = 7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
13 + -5x + -3x = 7 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
13 + -8x = 7 + 0
13 + -8x = 7

Add '-13' to each side of the equation.
13 + -13 + -8x = 7 + -13

Combine like terms: 13 + -13 = 0
0 + -8x = 7 + -13
-8x = 7 + -13

Combine like terms: 7 + -13 = -6
-8x = -6

Divide each side by '-8'.
x = 0.75

Simplifying
x = 0.75

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