2x+18=5(x-21)

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Solution for 2x+18=5(x-21) equation:


Simplifying
2x + 18 = 5(x + -21)

Reorder the terms:
18 + 2x = 5(x + -21)

Reorder the terms:
18 + 2x = 5(-21 + x)
18 + 2x = (-21 * 5 + x * 5)
18 + 2x = (-105 + 5x)

Solving
18 + 2x = -105 + 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.
18 + 2x + -5x = -105 + 5x + -5x

Combine like terms: 2x + -5x = -3x
18 + -3x = -105 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + -3x = -105 + 0
18 + -3x = -105

Add '-18' to each side of the equation.
18 + -18 + -3x = -105 + -18

Combine like terms: 18 + -18 = 0
0 + -3x = -105 + -18
-3x = -105 + -18

Combine like terms: -105 + -18 = -123
-3x = -123

Divide each side by '-3'.
x = 41

Simplifying
x = 41

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