-4-3(x-5)=12x+2(x-3)

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Solution for -4-3(x-5)=12x+2(x-3) equation: 


Simplifying
-4 + -3(x + -5) = 12x + 2(x + -3)

Reorder the terms:
-4 + -3(-5 + x) = 12x + 2(x + -3)
-4 + (-5 * -3 + x * -3) = 12x + 2(x + -3)
-4 + (15 + -3x) = 12x + 2(x + -3)

Combine like terms: -4 + 15 = 11
11 + -3x = 12x + 2(x + -3)

Reorder the terms:
11 + -3x = 12x + 2(-3 + x)
11 + -3x = 12x + (-3 * 2 + x * 2)
11 + -3x = 12x + (-6 + 2x)

Reorder the terms:
11 + -3x = -6 + 12x + 2x

Combine like terms: 12x + 2x = 14x
11 + -3x = -6 + 14x

Solving
11 + -3x = -6 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
11 + -3x + -14x = -6 + 14x + -14x

Combine like terms: -3x + -14x = -17x
11 + -17x = -6 + 14x + -14x

Combine like terms: 14x + -14x = 0
11 + -17x = -6 + 0
11 + -17x = -6

Add '-11' to each side of the equation.
11 + -11 + -17x = -6 + -11

Combine like terms: 11 + -11 = 0
0 + -17x = -6 + -11
-17x = -6 + -11

Combine like terms: -6 + -11 = -17
-17x = -17

Divide each side by '-17'.
x = 1

Simplifying
x = 1

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