5(2+x)=2(x+9)-5x

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


Simplifying
5(2 + x) = 2(x + 9) + -5x
(2 * 5 + x * 5) = 2(x + 9) + -5x
(10 + 5x) = 2(x + 9) + -5x

Reorder the terms:
10 + 5x = 2(9 + x) + -5x
10 + 5x = (9 * 2 + x * 2) + -5x
10 + 5x = (18 + 2x) + -5x

Combine like terms: 2x + -5x = -3x
10 + 5x = 18 + -3x

Solving
10 + 5x = 18 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
10 + 5x + 3x = 18 + -3x + 3x

Combine like terms: 5x + 3x = 8x
10 + 8x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + 8x = 18 + 0
10 + 8x = 18

Add '-10' to each side of the equation.
10 + -10 + 8x = 18 + -10

Combine like terms: 10 + -10 = 0
0 + 8x = 18 + -10
8x = 18 + -10

Combine like terms: 18 + -10 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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