11=-5(x-4)+8(x-3)

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Solution for 11=-5(x-4)+8(x-3) equation:


Simplifying
11 = -5(x + -4) + 8(x + -3)

Reorder the terms:
11 = -5(-4 + x) + 8(x + -3)
11 = (-4 * -5 + x * -5) + 8(x + -3)
11 = (20 + -5x) + 8(x + -3)

Reorder the terms:
11 = 20 + -5x + 8(-3 + x)
11 = 20 + -5x + (-3 * 8 + x * 8)
11 = 20 + -5x + (-24 + 8x)

Reorder the terms:
11 = 20 + -24 + -5x + 8x

Combine like terms: 20 + -24 = -4
11 = -4 + -5x + 8x

Combine like terms: -5x + 8x = 3x
11 = -4 + 3x

Solving
11 = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
11 + -3x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -3x = -4 + 0
11 + -3x = -4

Add '-11' to each side of the equation.
11 + -11 + -3x = -4 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = -4 + -11
-3x = -4 + -11

Combine like terms: -4 + -11 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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