-2(x-6)+3=-11x+4(x+4)

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Solution for -2(x-6)+3=-11x+4(x+4) equation:


Simplifying
-2(x + -6) + 3 = -11x + 4(x + 4)

Reorder the terms:
-2(-6 + x) + 3 = -11x + 4(x + 4)
(-6 * -2 + x * -2) + 3 = -11x + 4(x + 4)
(12 + -2x) + 3 = -11x + 4(x + 4)

Reorder the terms:
12 + 3 + -2x = -11x + 4(x + 4)

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

Reorder the terms:
15 + -2x = -11x + 4(4 + x)
15 + -2x = -11x + (4 * 4 + x * 4)
15 + -2x = -11x + (16 + 4x)

Reorder the terms:
15 + -2x = 16 + -11x + 4x

Combine like terms: -11x + 4x = -7x
15 + -2x = 16 + -7x

Solving
15 + -2x = 16 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
15 + -2x + 7x = 16 + -7x + 7x

Combine like terms: -2x + 7x = 5x
15 + 5x = 16 + -7x + 7x

Combine like terms: -7x + 7x = 0
15 + 5x = 16 + 0
15 + 5x = 16

Add '-15' to each side of the equation.
15 + -15 + 5x = 16 + -15

Combine like terms: 15 + -15 = 0
0 + 5x = 16 + -15
5x = 16 + -15

Combine like terms: 16 + -15 = 1
5x = 1

Divide each side by '5'.
x = 0.2

Simplifying
x = 0.2

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