8(x+4)+4(5x+5)=27(x+1)-4

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Solution for 8(x+4)+4(5x+5)=27(x+1)-4 equation:


Simplifying
8(x + 4) + 4(5x + 5) = 27(x + 1) + -4

Reorder the terms:
8(4 + x) + 4(5x + 5) = 27(x + 1) + -4
(4 * 8 + x * 8) + 4(5x + 5) = 27(x + 1) + -4
(32 + 8x) + 4(5x + 5) = 27(x + 1) + -4

Reorder the terms:
32 + 8x + 4(5 + 5x) = 27(x + 1) + -4
32 + 8x + (5 * 4 + 5x * 4) = 27(x + 1) + -4
32 + 8x + (20 + 20x) = 27(x + 1) + -4

Reorder the terms:
32 + 20 + 8x + 20x = 27(x + 1) + -4

Combine like terms: 32 + 20 = 52
52 + 8x + 20x = 27(x + 1) + -4

Combine like terms: 8x + 20x = 28x
52 + 28x = 27(x + 1) + -4

Reorder the terms:
52 + 28x = 27(1 + x) + -4
52 + 28x = (1 * 27 + x * 27) + -4
52 + 28x = (27 + 27x) + -4

Reorder the terms:
52 + 28x = 27 + -4 + 27x

Combine like terms: 27 + -4 = 23
52 + 28x = 23 + 27x

Solving
52 + 28x = 23 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
52 + 28x + -27x = 23 + 27x + -27x

Combine like terms: 28x + -27x = 1x
52 + 1x = 23 + 27x + -27x

Combine like terms: 27x + -27x = 0
52 + 1x = 23 + 0
52 + 1x = 23

Add '-52' to each side of the equation.
52 + -52 + 1x = 23 + -52

Combine like terms: 52 + -52 = 0
0 + 1x = 23 + -52
1x = 23 + -52

Combine like terms: 23 + -52 = -29
1x = -29

Divide each side by '1'.
x = -29

Simplifying
x = -29

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