.5(6x+2)=5(x+3)

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Solution for .5(6x+2)=5(x+3) equation:


Simplifying
0.5(6x + 2) = 5(x + 3)

Reorder the terms:
0.5(2 + 6x) = 5(x + 3)
(2 * 0.5 + 6x * 0.5) = 5(x + 3)
(1 + 3x) = 5(x + 3)

Reorder the terms:
1 + 3x = 5(3 + x)
1 + 3x = (3 * 5 + x * 5)
1 + 3x = (15 + 5x)

Solving
1 + 3x = 15 + 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.
1 + 3x + -5x = 15 + 5x + -5x

Combine like terms: 3x + -5x = -2x
1 + -2x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + -2x = 15 + 0
1 + -2x = 15

Add '-1' to each side of the equation.
1 + -1 + -2x = 15 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 15 + -1
-2x = 15 + -1

Combine like terms: 15 + -1 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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