8-5(x+4)=11-8(x+1)

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Solution for 8-5(x+4)=11-8(x+1) equation:


Simplifying
8 + -5(x + 4) = 11 + -8(x + 1)

Reorder the terms:
8 + -5(4 + x) = 11 + -8(x + 1)
8 + (4 * -5 + x * -5) = 11 + -8(x + 1)
8 + (-20 + -5x) = 11 + -8(x + 1)

Combine like terms: 8 + -20 = -12
-12 + -5x = 11 + -8(x + 1)

Reorder the terms:
-12 + -5x = 11 + -8(1 + x)
-12 + -5x = 11 + (1 * -8 + x * -8)
-12 + -5x = 11 + (-8 + -8x)

Combine like terms: 11 + -8 = 3
-12 + -5x = 3 + -8x

Solving
-12 + -5x = 3 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-12 + -5x + 8x = 3 + -8x + 8x

Combine like terms: -5x + 8x = 3x
-12 + 3x = 3 + -8x + 8x

Combine like terms: -8x + 8x = 0
-12 + 3x = 3 + 0
-12 + 3x = 3

Add '12' to each side of the equation.
-12 + 12 + 3x = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = 3 + 12
3x = 3 + 12

Combine like terms: 3 + 12 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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