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

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


Simplifying
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 = -17x
3 + -17x = 14 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -17x = 14 + 0
3 + -17x = 14

Add '-3' to each side of the equation.
3 + -3 + -17x = 14 + -3

Combine like terms: 3 + -3 = 0
0 + -17x = 14 + -3
-17x = 14 + -3

Combine like terms: 14 + -3 = 11
-17x = 11

Divide each side by '-17'.
x = -0.6470588235

Simplifying
x = -0.6470588235

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