3(-3x+1)=2(-4x+7)

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Solution for 3(-3x+1)=2(-4x+7) equation:


Simplifying
3(-3x + 1) = 2(-4x + 7)

Reorder the terms:
3(1 + -3x) = 2(-4x + 7)
(1 * 3 + -3x * 3) = 2(-4x + 7)
(3 + -9x) = 2(-4x + 7)

Reorder the terms:
3 + -9x = 2(7 + -4x)
3 + -9x = (7 * 2 + -4x * 2)
3 + -9x = (14 + -8x)

Solving
3 + -9x = 14 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
3 + -9x + 8x = 14 + -8x + 8x

Combine like terms: -9x + 8x = -1x
3 + -1x = 14 + -8x + 8x

Combine like terms: -8x + 8x = 0
3 + -1x = 14 + 0
3 + -1x = 14

Add '-3' to each side of the equation.
3 + -3 + -1x = 14 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 14 + -3
-1x = 14 + -3

Combine like terms: 14 + -3 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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