3(x+8)+10=5(x-2)-(x-2)

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Solution for 3(x+8)+10=5(x-2)-(x-2) equation:


Simplifying
3(x + 8) + 10 = 5(x + -2) + -1(x + -2)

Reorder the terms:
3(8 + x) + 10 = 5(x + -2) + -1(x + -2)
(8 * 3 + x * 3) + 10 = 5(x + -2) + -1(x + -2)
(24 + 3x) + 10 = 5(x + -2) + -1(x + -2)

Reorder the terms:
24 + 10 + 3x = 5(x + -2) + -1(x + -2)

Combine like terms: 24 + 10 = 34
34 + 3x = 5(x + -2) + -1(x + -2)

Reorder the terms:
34 + 3x = 5(-2 + x) + -1(x + -2)
34 + 3x = (-2 * 5 + x * 5) + -1(x + -2)
34 + 3x = (-10 + 5x) + -1(x + -2)

Reorder the terms:
34 + 3x = -10 + 5x + -1(-2 + x)
34 + 3x = -10 + 5x + (-2 * -1 + x * -1)
34 + 3x = -10 + 5x + (2 + -1x)

Reorder the terms:
34 + 3x = -10 + 2 + 5x + -1x

Combine like terms: -10 + 2 = -8
34 + 3x = -8 + 5x + -1x

Combine like terms: 5x + -1x = 4x
34 + 3x = -8 + 4x

Solving
34 + 3x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
34 + 3x + -4x = -8 + 4x + -4x

Combine like terms: 3x + -4x = -1x
34 + -1x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
34 + -1x = -8 + 0
34 + -1x = -8

Add '-34' to each side of the equation.
34 + -34 + -1x = -8 + -34

Combine like terms: 34 + -34 = 0
0 + -1x = -8 + -34
-1x = -8 + -34

Combine like terms: -8 + -34 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42

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