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

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


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

Reorder the terms:
wx + -5(-3 + x) = 8 + 3x + -7
wx + (-3 * -5 + x * -5) = 8 + 3x + -7
wx + (15 + -5x) = 8 + 3x + -7

Reorder the terms:
15 + wx + -5x = 8 + 3x + -7

Reorder the terms:
15 + wx + -5x = 8 + -7 + 3x

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

Solving
15 + wx + -5x = 1 + 3x

Solving for variable 'w'.

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

Add '-15' to each side of the equation.
15 + wx + -15 + -5x = 1 + -15 + 3x

Reorder the terms:
15 + -15 + wx + -5x = 1 + -15 + 3x

Combine like terms: 15 + -15 = 0
0 + wx + -5x = 1 + -15 + 3x
wx + -5x = 1 + -15 + 3x

Combine like terms: 1 + -15 = -14
wx + -5x = -14 + 3x

Add '5x' to each side of the equation.
wx + -5x + 5x = -14 + 3x + 5x

Combine like terms: -5x + 5x = 0
wx + 0 = -14 + 3x + 5x
wx = -14 + 3x + 5x

Combine like terms: 3x + 5x = 8x
wx = -14 + 8x

Divide each side by 'x'.
w = -14x-1 + 8

Simplifying
w = -14x-1 + 8

Reorder the terms:
w = 8 + -14x-1

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