3(2x-3)=1-7x

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Solution for 3(2x-3)=1-7x equation:


Simplifying
3(2x + -3) = 1 + -7x

Reorder the terms:
3(-3 + 2x) = 1 + -7x
(-3 * 3 + 2x * 3) = 1 + -7x
(-9 + 6x) = 1 + -7x

Solving
-9 + 6x = 1 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-9 + 6x + 7x = 1 + -7x + 7x

Combine like terms: 6x + 7x = 13x
-9 + 13x = 1 + -7x + 7x

Combine like terms: -7x + 7x = 0
-9 + 13x = 1 + 0
-9 + 13x = 1

Add '9' to each side of the equation.
-9 + 9 + 13x = 1 + 9

Combine like terms: -9 + 9 = 0
0 + 13x = 1 + 9
13x = 1 + 9

Combine like terms: 1 + 9 = 10
13x = 10

Divide each side by '13'.
x = 0.7692307692

Simplifying
x = 0.7692307692

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