7-3x=5(x-5)

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


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

Reorder the terms:
7 + -3x = 5(-5 + x)
7 + -3x = (-5 * 5 + x * 5)
7 + -3x = (-25 + 5x)

Solving
7 + -3x = -25 + 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.
7 + -3x + -5x = -25 + 5x + -5x

Combine like terms: -3x + -5x = -8x
7 + -8x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + -8x = -25 + 0
7 + -8x = -25

Add '-7' to each side of the equation.
7 + -7 + -8x = -25 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = -25 + -7
-8x = -25 + -7

Combine like terms: -25 + -7 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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