5(4-3x)-2=6-9x

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Solution for 5(4-3x)-2=6-9x equation:


Simplifying
5(4 + -3x) + -2 = 6 + -9x
(4 * 5 + -3x * 5) + -2 = 6 + -9x
(20 + -15x) + -2 = 6 + -9x

Reorder the terms:
20 + -2 + -15x = 6 + -9x

Combine like terms: 20 + -2 = 18
18 + -15x = 6 + -9x

Solving
18 + -15x = 6 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
18 + -15x + 9x = 6 + -9x + 9x

Combine like terms: -15x + 9x = -6x
18 + -6x = 6 + -9x + 9x

Combine like terms: -9x + 9x = 0
18 + -6x = 6 + 0
18 + -6x = 6

Add '-18' to each side of the equation.
18 + -18 + -6x = 6 + -18

Combine like terms: 18 + -18 = 0
0 + -6x = 6 + -18
-6x = 6 + -18

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

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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