5(x-12)=10+5(3x-4)

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Solution for 5(x-12)=10+5(3x-4) equation:


Simplifying
5(x + -12) = 10 + 5(3x + -4)

Reorder the terms:
5(-12 + x) = 10 + 5(3x + -4)
(-12 * 5 + x * 5) = 10 + 5(3x + -4)
(-60 + 5x) = 10 + 5(3x + -4)

Reorder the terms:
-60 + 5x = 10 + 5(-4 + 3x)
-60 + 5x = 10 + (-4 * 5 + 3x * 5)
-60 + 5x = 10 + (-20 + 15x)

Combine like terms: 10 + -20 = -10
-60 + 5x = -10 + 15x

Solving
-60 + 5x = -10 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-60 + 5x + -15x = -10 + 15x + -15x

Combine like terms: 5x + -15x = -10x
-60 + -10x = -10 + 15x + -15x

Combine like terms: 15x + -15x = 0
-60 + -10x = -10 + 0
-60 + -10x = -10

Add '60' to each side of the equation.
-60 + 60 + -10x = -10 + 60

Combine like terms: -60 + 60 = 0
0 + -10x = -10 + 60
-10x = -10 + 60

Combine like terms: -10 + 60 = 50
-10x = 50

Divide each side by '-10'.
x = -5

Simplifying
x = -5

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