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

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


Simplifying
3(2 + -3x) = 7(x + -2) + 6
(2 * 3 + -3x * 3) = 7(x + -2) + 6
(6 + -9x) = 7(x + -2) + 6

Reorder the terms:
6 + -9x = 7(-2 + x) + 6
6 + -9x = (-2 * 7 + x * 7) + 6
6 + -9x = (-14 + 7x) + 6

Reorder the terms:
6 + -9x = -14 + 6 + 7x

Combine like terms: -14 + 6 = -8
6 + -9x = -8 + 7x

Solving
6 + -9x = -8 + 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.
6 + -9x + -7x = -8 + 7x + -7x

Combine like terms: -9x + -7x = -16x
6 + -16x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -16x = -8 + 0
6 + -16x = -8

Add '-6' to each side of the equation.
6 + -6 + -16x = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -16x = -8 + -6
-16x = -8 + -6

Combine like terms: -8 + -6 = -14
-16x = -14

Divide each side by '-16'.
x = 0.875

Simplifying
x = 0.875

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