5(x+4)-3(4x-9)=-8(x-8)-2

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Solution for 5(x+4)-3(4x-9)=-8(x-8)-2 equation:


Simplifying
5(x + 4) + -3(4x + -9) = -8(x + -8) + -2

Reorder the terms:
5(4 + x) + -3(4x + -9) = -8(x + -8) + -2
(4 * 5 + x * 5) + -3(4x + -9) = -8(x + -8) + -2
(20 + 5x) + -3(4x + -9) = -8(x + -8) + -2

Reorder the terms:
20 + 5x + -3(-9 + 4x) = -8(x + -8) + -2
20 + 5x + (-9 * -3 + 4x * -3) = -8(x + -8) + -2
20 + 5x + (27 + -12x) = -8(x + -8) + -2

Reorder the terms:
20 + 27 + 5x + -12x = -8(x + -8) + -2

Combine like terms: 20 + 27 = 47
47 + 5x + -12x = -8(x + -8) + -2

Combine like terms: 5x + -12x = -7x
47 + -7x = -8(x + -8) + -2

Reorder the terms:
47 + -7x = -8(-8 + x) + -2
47 + -7x = (-8 * -8 + x * -8) + -2
47 + -7x = (64 + -8x) + -2

Reorder the terms:
47 + -7x = 64 + -2 + -8x

Combine like terms: 64 + -2 = 62
47 + -7x = 62 + -8x

Solving
47 + -7x = 62 + -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.
47 + -7x + 8x = 62 + -8x + 8x

Combine like terms: -7x + 8x = 1x
47 + 1x = 62 + -8x + 8x

Combine like terms: -8x + 8x = 0
47 + 1x = 62 + 0
47 + 1x = 62

Add '-47' to each side of the equation.
47 + -47 + 1x = 62 + -47

Combine like terms: 47 + -47 = 0
0 + 1x = 62 + -47
1x = 62 + -47

Combine like terms: 62 + -47 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15

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