x+3(x+8)=13x-8(x+62)

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Solution for x+3(x+8)=13x-8(x+62) equation:


Simplifying
x + 3(x + 8) = 13x + -8(x + 62)

Reorder the terms:
x + 3(8 + x) = 13x + -8(x + 62)
x + (8 * 3 + x * 3) = 13x + -8(x + 62)
x + (24 + 3x) = 13x + -8(x + 62)

Reorder the terms:
24 + x + 3x = 13x + -8(x + 62)

Combine like terms: x + 3x = 4x
24 + 4x = 13x + -8(x + 62)

Reorder the terms:
24 + 4x = 13x + -8(62 + x)
24 + 4x = 13x + (62 * -8 + x * -8)
24 + 4x = 13x + (-496 + -8x)

Reorder the terms:
24 + 4x = -496 + 13x + -8x

Combine like terms: 13x + -8x = 5x
24 + 4x = -496 + 5x

Solving
24 + 4x = -496 + 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.
24 + 4x + -5x = -496 + 5x + -5x

Combine like terms: 4x + -5x = -1x
24 + -1x = -496 + 5x + -5x

Combine like terms: 5x + -5x = 0
24 + -1x = -496 + 0
24 + -1x = -496

Add '-24' to each side of the equation.
24 + -24 + -1x = -496 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = -496 + -24
-1x = -496 + -24

Combine like terms: -496 + -24 = -520
-1x = -520

Divide each side by '-1'.
x = 520

Simplifying
x = 520

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