6(2x-3)+15=5(x+5)

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Solution for 6(2x-3)+15=5(x+5) equation:


Simplifying
6(2x + -3) + 15 = 5(x + 5)

Reorder the terms:
6(-3 + 2x) + 15 = 5(x + 5)
(-3 * 6 + 2x * 6) + 15 = 5(x + 5)
(-18 + 12x) + 15 = 5(x + 5)

Reorder the terms:
-18 + 15 + 12x = 5(x + 5)

Combine like terms: -18 + 15 = -3
-3 + 12x = 5(x + 5)

Reorder the terms:
-3 + 12x = 5(5 + x)
-3 + 12x = (5 * 5 + x * 5)
-3 + 12x = (25 + 5x)

Solving
-3 + 12x = 25 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-3 + 12x + -5x = 25 + 5x + -5x

Combine like terms: 12x + -5x = 7x
-3 + 7x = 25 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + 7x = 25 + 0
-3 + 7x = 25

Add '3' to each side of the equation.
-3 + 3 + 7x = 25 + 3

Combine like terms: -3 + 3 = 0
0 + 7x = 25 + 3
7x = 25 + 3

Combine like terms: 25 + 3 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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