5*(2x-10)=12*(x-7)

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Solution for 5*(2x-10)=12*(x-7) equation:


Simplifying
5(2x + -10) = 12(x + -7)

Reorder the terms:
5(-10 + 2x) = 12(x + -7)
(-10 * 5 + 2x * 5) = 12(x + -7)
(-50 + 10x) = 12(x + -7)

Reorder the terms:
-50 + 10x = 12(-7 + x)
-50 + 10x = (-7 * 12 + x * 12)
-50 + 10x = (-84 + 12x)

Solving
-50 + 10x = -84 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-50 + 10x + -12x = -84 + 12x + -12x

Combine like terms: 10x + -12x = -2x
-50 + -2x = -84 + 12x + -12x

Combine like terms: 12x + -12x = 0
-50 + -2x = -84 + 0
-50 + -2x = -84

Add '50' to each side of the equation.
-50 + 50 + -2x = -84 + 50

Combine like terms: -50 + 50 = 0
0 + -2x = -84 + 50
-2x = -84 + 50

Combine like terms: -84 + 50 = -34
-2x = -34

Divide each side by '-2'.
x = 17

Simplifying
x = 17

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