10(x+2)=2(x+46)

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Solution for 10(x+2)=2(x+46) equation:


Simplifying
10(x + 2) = 2(x + 46)

Reorder the terms:
10(2 + x) = 2(x + 46)
(2 * 10 + x * 10) = 2(x + 46)
(20 + 10x) = 2(x + 46)

Reorder the terms:
20 + 10x = 2(46 + x)
20 + 10x = (46 * 2 + x * 2)
20 + 10x = (92 + 2x)

Solving
20 + 10x = 92 + 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.
20 + 10x + -2x = 92 + 2x + -2x

Combine like terms: 10x + -2x = 8x
20 + 8x = 92 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + 8x = 92 + 0
20 + 8x = 92

Add '-20' to each side of the equation.
20 + -20 + 8x = 92 + -20

Combine like terms: 20 + -20 = 0
0 + 8x = 92 + -20
8x = 92 + -20

Combine like terms: 92 + -20 = 72
8x = 72

Divide each side by '8'.
x = 9

Simplifying
x = 9

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