8(2+x)=5(3+x)-11

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Solution for 8(2+x)=5(3+x)-11 equation:


Simplifying
8(2 + x) = 5(3 + x) + -11
(2 * 8 + x * 8) = 5(3 + x) + -11
(16 + 8x) = 5(3 + x) + -11
16 + 8x = (3 * 5 + x * 5) + -11
16 + 8x = (15 + 5x) + -11

Reorder the terms:
16 + 8x = 15 + -11 + 5x

Combine like terms: 15 + -11 = 4
16 + 8x = 4 + 5x

Solving
16 + 8x = 4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
16 + 8x + -5x = 4 + 5x + -5x

Combine like terms: 8x + -5x = 3x
16 + 3x = 4 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + 3x = 4 + 0
16 + 3x = 4

Add '-16' to each side of the equation.
16 + -16 + 3x = 4 + -16

Combine like terms: 16 + -16 = 0
0 + 3x = 4 + -16
3x = 4 + -16

Combine like terms: 4 + -16 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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