7=5x-3(x-8)

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


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

Reorder the terms:
7 = 5x + -3(-8 + x)
7 = 5x + (-8 * -3 + x * -3)
7 = 5x + (24 + -3x)

Reorder the terms:
7 = 24 + 5x + -3x

Combine like terms: 5x + -3x = 2x
7 = 24 + 2x

Solving
7 = 24 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + -2x = 24 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -2x = 24 + 0
7 + -2x = 24

Add '-7' to each side of the equation.
7 + -7 + -2x = 24 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 24 + -7
-2x = 24 + -7

Combine like terms: 24 + -7 = 17
-2x = 17

Divide each side by '-2'.
x = -8.5

Simplifying
x = -8.5

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