15(3x-2)=6x-7

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Solution for 15(3x-2)=6x-7 equation:


Simplifying
15(3x + -2) = 6x + -7

Reorder the terms:
15(-2 + 3x) = 6x + -7
(-2 * 15 + 3x * 15) = 6x + -7
(-30 + 45x) = 6x + -7

Reorder the terms:
-30 + 45x = -7 + 6x

Solving
-30 + 45x = -7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-30 + 45x + -6x = -7 + 6x + -6x

Combine like terms: 45x + -6x = 39x
-30 + 39x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
-30 + 39x = -7 + 0
-30 + 39x = -7

Add '30' to each side of the equation.
-30 + 30 + 39x = -7 + 30

Combine like terms: -30 + 30 = 0
0 + 39x = -7 + 30
39x = -7 + 30

Combine like terms: -7 + 30 = 23
39x = 23

Divide each side by '39'.
x = 0.5897435897

Simplifying
x = 0.5897435897

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