10(2x-6)=6(3x+10)-15

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Solution for 10(2x-6)=6(3x+10)-15 equation:


Simplifying
10(2x + -6) = 6(3x + 10) + -15

Reorder the terms:
10(-6 + 2x) = 6(3x + 10) + -15
(-6 * 10 + 2x * 10) = 6(3x + 10) + -15
(-60 + 20x) = 6(3x + 10) + -15

Reorder the terms:
-60 + 20x = 6(10 + 3x) + -15
-60 + 20x = (10 * 6 + 3x * 6) + -15
-60 + 20x = (60 + 18x) + -15

Reorder the terms:
-60 + 20x = 60 + -15 + 18x

Combine like terms: 60 + -15 = 45
-60 + 20x = 45 + 18x

Solving
-60 + 20x = 45 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-60 + 20x + -18x = 45 + 18x + -18x

Combine like terms: 20x + -18x = 2x
-60 + 2x = 45 + 18x + -18x

Combine like terms: 18x + -18x = 0
-60 + 2x = 45 + 0
-60 + 2x = 45

Add '60' to each side of the equation.
-60 + 60 + 2x = 45 + 60

Combine like terms: -60 + 60 = 0
0 + 2x = 45 + 60
2x = 45 + 60

Combine like terms: 45 + 60 = 105
2x = 105

Divide each side by '2'.
x = 52.5

Simplifying
x = 52.5

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