3(2x-5)=7-3x

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Solution for 3(2x-5)=7-3x equation:


Simplifying
3(2x + -5) = 7 + -3x

Reorder the terms:
3(-5 + 2x) = 7 + -3x
(-5 * 3 + 2x * 3) = 7 + -3x
(-15 + 6x) = 7 + -3x

Solving
-15 + 6x = 7 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-15 + 6x + 3x = 7 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-15 + 9x = 7 + -3x + 3x

Combine like terms: -3x + 3x = 0
-15 + 9x = 7 + 0
-15 + 9x = 7

Add '15' to each side of the equation.
-15 + 15 + 9x = 7 + 15

Combine like terms: -15 + 15 = 0
0 + 9x = 7 + 15
9x = 7 + 15

Combine like terms: 7 + 15 = 22
9x = 22

Divide each side by '9'.
x = 2.444444444

Simplifying
x = 2.444444444

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