-3x+7=2(3x+10)

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Solution for -3x+7=2(3x+10) equation:


Simplifying
-3x + 7 = 2(3x + 10)

Reorder the terms:
7 + -3x = 2(3x + 10)

Reorder the terms:
7 + -3x = 2(10 + 3x)
7 + -3x = (10 * 2 + 3x * 2)
7 + -3x = (20 + 6x)

Solving
7 + -3x = 20 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
7 + -3x + -6x = 20 + 6x + -6x

Combine like terms: -3x + -6x = -9x
7 + -9x = 20 + 6x + -6x

Combine like terms: 6x + -6x = 0
7 + -9x = 20 + 0
7 + -9x = 20

Add '-7' to each side of the equation.
7 + -7 + -9x = 20 + -7

Combine like terms: 7 + -7 = 0
0 + -9x = 20 + -7
-9x = 20 + -7

Combine like terms: 20 + -7 = 13
-9x = 13

Divide each side by '-9'.
x = -1.444444444

Simplifying
x = -1.444444444

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