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

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


Simplifying
x + 2(5) = 3x + 8(2)

Multiply 2 * 5
x + 10 = 3x + 8(2)

Reorder the terms:
10 + x = 3x + 8(2)

Multiply 8 * 2
10 + x = 3x + 16

Reorder the terms:
10 + x = 16 + 3x

Solving
10 + x = 16 + 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 + x + -3x = 16 + 3x + -3x

Combine like terms: x + -3x = -2x
10 + -2x = 16 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -2x = 16 + 0
10 + -2x = 16

Add '-10' to each side of the equation.
10 + -10 + -2x = 16 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 16 + -10
-2x = 16 + -10

Combine like terms: 16 + -10 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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