6(3x-5)-7x=15

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Solution for 6(3x-5)-7x=15 equation:


Simplifying
6(3x + -5) + -7x = 15

Reorder the terms:
6(-5 + 3x) + -7x = 15
(-5 * 6 + 3x * 6) + -7x = 15
(-30 + 18x) + -7x = 15

Combine like terms: 18x + -7x = 11x
-30 + 11x = 15

Solving
-30 + 11x = 15

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 11x = 15 + 30

Combine like terms: -30 + 30 = 0
0 + 11x = 15 + 30
11x = 15 + 30

Combine like terms: 15 + 30 = 45
11x = 45

Divide each side by '11'.
x = 4.090909091

Simplifying
x = 4.090909091

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