3(3x+1)-7(2-4x)=6(-5x-4)+14(7x)

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Solution for 3(3x+1)-7(2-4x)=6(-5x-4)+14(7x) equation: 


Simplifying
3(3x + 1) + -7(2 + -4x) = 6(-5x + -4) + 14(7x)

Reorder the terms:
3(1 + 3x) + -7(2 + -4x) = 6(-5x + -4) + 14(7x)
(1 * 3 + 3x * 3) + -7(2 + -4x) = 6(-5x + -4) + 14(7x)
(3 + 9x) + -7(2 + -4x) = 6(-5x + -4) + 14(7x)
3 + 9x + (2 * -7 + -4x * -7) = 6(-5x + -4) + 14(7x)
3 + 9x + (-14 + 28x) = 6(-5x + -4) + 14(7x)

Reorder the terms:
3 + -14 + 9x + 28x = 6(-5x + -4) + 14(7x)

Combine like terms: 3 + -14 = -11
-11 + 9x + 28x = 6(-5x + -4) + 14(7x)

Combine like terms: 9x + 28x = 37x
-11 + 37x = 6(-5x + -4) + 14(7x)

Reorder the terms:
-11 + 37x = 6(-4 + -5x) + 14(7x)
-11 + 37x = (-4 * 6 + -5x * 6) + 14(7x)
-11 + 37x = (-24 + -30x) + 14(7x)

Remove parenthesis around (7x)
-11 + 37x = -24 + -30x + 14 * 7x

Multiply 14 * 7
-11 + 37x = -24 + -30x + 98x

Combine like terms: -30x + 98x = 68x
-11 + 37x = -24 + 68x

Solving
-11 + 37x = -24 + 68x

Solving for variable 'x'.

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

Add '-68x' to each side of the equation.
-11 + 37x + -68x = -24 + 68x + -68x

Combine like terms: 37x + -68x = -31x
-11 + -31x = -24 + 68x + -68x

Combine like terms: 68x + -68x = 0
-11 + -31x = -24 + 0
-11 + -31x = -24

Add '11' to each side of the equation.
-11 + 11 + -31x = -24 + 11

Combine like terms: -11 + 11 = 0
0 + -31x = -24 + 11
-31x = -24 + 11

Combine like terms: -24 + 11 = -13
-31x = -13

Divide each side by '-31'.
x = 0.4193548387

Simplifying
x = 0.4193548387

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