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

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Solution for 10(x+5)=2(x+9) equation:


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

Reorder the terms:
10(5 + x) = 2(x + 9)
(5 * 10 + x * 10) = 2(x + 9)
(50 + 10x) = 2(x + 9)

Reorder the terms:
50 + 10x = 2(9 + x)
50 + 10x = (9 * 2 + x * 2)
50 + 10x = (18 + 2x)

Solving
50 + 10x = 18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
50 + 10x + -2x = 18 + 2x + -2x

Combine like terms: 10x + -2x = 8x
50 + 8x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
50 + 8x = 18 + 0
50 + 8x = 18

Add '-50' to each side of the equation.
50 + -50 + 8x = 18 + -50

Combine like terms: 50 + -50 = 0
0 + 8x = 18 + -50
8x = 18 + -50

Combine like terms: 18 + -50 = -32
8x = -32

Divide each side by '8'.
x = -4

Simplifying
x = -4

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