6(x+2)+3=3(10-3x)

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Solution for 6(x+2)+3=3(10-3x) equation: 


Simplifying
6(x + 2) + 3 = 3(10 + -3x)

Reorder the terms:
6(2 + x) + 3 = 3(10 + -3x)
(2 * 6 + x * 6) + 3 = 3(10 + -3x)
(12 + 6x) + 3 = 3(10 + -3x)

Reorder the terms:
12 + 3 + 6x = 3(10 + -3x)

Combine like terms: 12 + 3 = 15
15 + 6x = 3(10 + -3x)
15 + 6x = (10 * 3 + -3x * 3)
15 + 6x = (30 + -9x)

Solving
15 + 6x = 30 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
15 + 6x + 9x = 30 + -9x + 9x

Combine like terms: 6x + 9x = 15x
15 + 15x = 30 + -9x + 9x

Combine like terms: -9x + 9x = 0
15 + 15x = 30 + 0
15 + 15x = 30

Add '-15' to each side of the equation.
15 + -15 + 15x = 30 + -15

Combine like terms: 15 + -15 = 0
0 + 15x = 30 + -15
15x = 30 + -15

Combine like terms: 30 + -15 = 15
15x = 15

Divide each side by '15'.
x = 1

Simplifying
x = 1

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