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

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


Simplifying
6x + -1x + 2 = 10(x + 3)

Reorder the terms:
2 + 6x + -1x = 10(x + 3)

Combine like terms: 6x + -1x = 5x
2 + 5x = 10(x + 3)

Reorder the terms:
2 + 5x = 10(3 + x)
2 + 5x = (3 * 10 + x * 10)
2 + 5x = (30 + 10x)

Solving
2 + 5x = 30 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
2 + 5x + -10x = 30 + 10x + -10x

Combine like terms: 5x + -10x = -5x
2 + -5x = 30 + 10x + -10x

Combine like terms: 10x + -10x = 0
2 + -5x = 30 + 0
2 + -5x = 30

Add '-2' to each side of the equation.
2 + -2 + -5x = 30 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 30 + -2
-5x = 30 + -2

Combine like terms: 30 + -2 = 28
-5x = 28

Divide each side by '-5'.
x = -5.6

Simplifying
x = -5.6

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