5x-3(2x-1)+9=7x-6

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Solution for 5x-3(2x-1)+9=7x-6 equation:


Simplifying
5x + -3(2x + -1) + 9 = 7x + -6

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

Reorder the terms:
3 + 9 + 5x + -6x = 7x + -6

Combine like terms: 3 + 9 = 12
12 + 5x + -6x = 7x + -6

Combine like terms: 5x + -6x = -1x
12 + -1x = 7x + -6

Reorder the terms:
12 + -1x = -6 + 7x

Solving
12 + -1x = -6 + 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.
12 + -1x + -7x = -6 + 7x + -7x

Combine like terms: -1x + -7x = -8x
12 + -8x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -8x = -6 + 0
12 + -8x = -6

Add '-12' to each side of the equation.
12 + -12 + -8x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -8x = -6 + -12
-8x = -6 + -12

Combine like terms: -6 + -12 = -18
-8x = -18

Divide each side by '-8'.
x = 2.25

Simplifying
x = 2.25

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