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

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


Simplifying
5(3 + -1x) + 3x = 6(2x)
(3 * 5 + -1x * 5) + 3x = 6(2x)
(15 + -5x) + 3x = 6(2x)

Combine like terms: -5x + 3x = -2x
15 + -2x = 6(2x)

Remove parenthesis around (2x)
15 + -2x = 6 * 2x

Multiply 6 * 2
15 + -2x = 12x

Solving
15 + -2x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
15 + -2x + -12x = 12x + -12x

Combine like terms: -2x + -12x = -14x
15 + -14x = 12x + -12x

Combine like terms: 12x + -12x = 0
15 + -14x = 0

Add '-15' to each side of the equation.
15 + -15 + -14x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -14x = 0 + -15
-14x = 0 + -15

Combine like terms: 0 + -15 = -15
-14x = -15

Divide each side by '-14'.
x = 1.071428571

Simplifying
x = 1.071428571

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