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

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


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

Reorder the terms:
5(8 + x) + -4 = 8(x + 4) + -11
(8 * 5 + x * 5) + -4 = 8(x + 4) + -11
(40 + 5x) + -4 = 8(x + 4) + -11

Reorder the terms:
40 + -4 + 5x = 8(x + 4) + -11

Combine like terms: 40 + -4 = 36
36 + 5x = 8(x + 4) + -11

Reorder the terms:
36 + 5x = 8(4 + x) + -11
36 + 5x = (4 * 8 + x * 8) + -11
36 + 5x = (32 + 8x) + -11

Reorder the terms:
36 + 5x = 32 + -11 + 8x

Combine like terms: 32 + -11 = 21
36 + 5x = 21 + 8x

Solving
36 + 5x = 21 + 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.
36 + 5x + -8x = 21 + 8x + -8x

Combine like terms: 5x + -8x = -3x
36 + -3x = 21 + 8x + -8x

Combine like terms: 8x + -8x = 0
36 + -3x = 21 + 0
36 + -3x = 21

Add '-36' to each side of the equation.
36 + -36 + -3x = 21 + -36

Combine like terms: 36 + -36 = 0
0 + -3x = 21 + -36
-3x = 21 + -36

Combine like terms: 21 + -36 = -15
-3x = -15

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

Simplifying
x = 5

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