2(x-6)-3=-4(x+1)

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Solution for 2(x-6)-3=-4(x+1) equation:


Simplifying
2(x + -6) + -3 = -4(x + 1)

Reorder the terms:
2(-6 + x) + -3 = -4(x + 1)
(-6 * 2 + x * 2) + -3 = -4(x + 1)
(-12 + 2x) + -3 = -4(x + 1)

Reorder the terms:
-12 + -3 + 2x = -4(x + 1)

Combine like terms: -12 + -3 = -15
-15 + 2x = -4(x + 1)

Reorder the terms:
-15 + 2x = -4(1 + x)
-15 + 2x = (1 * -4 + x * -4)
-15 + 2x = (-4 + -4x)

Solving
-15 + 2x = -4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-15 + 2x + 4x = -4 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-15 + 6x = -4 + -4x + 4x

Combine like terms: -4x + 4x = 0
-15 + 6x = -4 + 0
-15 + 6x = -4

Add '15' to each side of the equation.
-15 + 15 + 6x = -4 + 15

Combine like terms: -15 + 15 = 0
0 + 6x = -4 + 15
6x = -4 + 15

Combine like terms: -4 + 15 = 11
6x = 11

Divide each side by '6'.
x = 1.833333333

Simplifying
x = 1.833333333

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