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

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


Simplifying
3(1 + -3x) = 2 + -7x
(1 * 3 + -3x * 3) = 2 + -7x
(3 + -9x) = 2 + -7x

Solving
3 + -9x = 2 + -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.
3 + -9x + 7x = 2 + -7x + 7x

Combine like terms: -9x + 7x = -2x
3 + -2x = 2 + -7x + 7x

Combine like terms: -7x + 7x = 0
3 + -2x = 2 + 0
3 + -2x = 2

Add '-3' to each side of the equation.
3 + -3 + -2x = 2 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 2 + -3
-2x = 2 + -3

Combine like terms: 2 + -3 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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