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

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


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

Reorder the terms:
3(4 + -3x) + 7x = 6(2x + -1)
(4 * 3 + -3x * 3) + 7x = 6(2x + -1)
(12 + -9x) + 7x = 6(2x + -1)

Combine like terms: -9x + 7x = -2x
12 + -2x = 6(2x + -1)

Reorder the terms:
12 + -2x = 6(-1 + 2x)
12 + -2x = (-1 * 6 + 2x * 6)
12 + -2x = (-6 + 12x)

Solving
12 + -2x = -6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
12 + -2x + -12x = -6 + 12x + -12x

Combine like terms: -2x + -12x = -14x
12 + -14x = -6 + 12x + -12x

Combine like terms: 12x + -12x = 0
12 + -14x = -6 + 0
12 + -14x = -6

Add '-12' to each side of the equation.
12 + -12 + -14x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -14x = -6 + -12
-14x = -6 + -12

Combine like terms: -6 + -12 = -18
-14x = -18

Divide each side by '-14'.
x = 1.285714286

Simplifying
x = 1.285714286

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