16-8(x+1)=11-3(x+6)

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Solution for 16-8(x+1)=11-3(x+6) equation:


Simplifying
16 + -8(x + 1) = 11 + -3(x + 6)

Reorder the terms:
16 + -8(1 + x) = 11 + -3(x + 6)
16 + (1 * -8 + x * -8) = 11 + -3(x + 6)
16 + (-8 + -8x) = 11 + -3(x + 6)

Combine like terms: 16 + -8 = 8
8 + -8x = 11 + -3(x + 6)

Reorder the terms:
8 + -8x = 11 + -3(6 + x)
8 + -8x = 11 + (6 * -3 + x * -3)
8 + -8x = 11 + (-18 + -3x)

Combine like terms: 11 + -18 = -7
8 + -8x = -7 + -3x

Solving
8 + -8x = -7 + -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.
8 + -8x + 3x = -7 + -3x + 3x

Combine like terms: -8x + 3x = -5x
8 + -5x = -7 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + -5x = -7 + 0
8 + -5x = -7

Add '-8' to each side of the equation.
8 + -8 + -5x = -7 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = -7 + -8
-5x = -7 + -8

Combine like terms: -7 + -8 = -15
-5x = -15

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

Simplifying
x = 3

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