11+2(x-1)=-6(x-4)

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Solution for 11+2(x-1)=-6(x-4) equation:


Simplifying
11 + 2(x + -1) = -6(x + -4)

Reorder the terms:
11 + 2(-1 + x) = -6(x + -4)
11 + (-1 * 2 + x * 2) = -6(x + -4)
11 + (-2 + 2x) = -6(x + -4)

Combine like terms: 11 + -2 = 9
9 + 2x = -6(x + -4)

Reorder the terms:
9 + 2x = -6(-4 + x)
9 + 2x = (-4 * -6 + x * -6)
9 + 2x = (24 + -6x)

Solving
9 + 2x = 24 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
9 + 2x + 6x = 24 + -6x + 6x

Combine like terms: 2x + 6x = 8x
9 + 8x = 24 + -6x + 6x

Combine like terms: -6x + 6x = 0
9 + 8x = 24 + 0
9 + 8x = 24

Add '-9' to each side of the equation.
9 + -9 + 8x = 24 + -9

Combine like terms: 9 + -9 = 0
0 + 8x = 24 + -9
8x = 24 + -9

Combine like terms: 24 + -9 = 15
8x = 15

Divide each side by '8'.
x = 1.875

Simplifying
x = 1.875

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