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

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


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

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

Reorder the terms:
-30 + 7 + 5x = 3(x + 5)

Combine like terms: -30 + 7 = -23
-23 + 5x = 3(x + 5)

Reorder the terms:
-23 + 5x = 3(5 + x)
-23 + 5x = (5 * 3 + x * 3)
-23 + 5x = (15 + 3x)

Solving
-23 + 5x = 15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-23 + 5x + -3x = 15 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-23 + 2x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-23 + 2x = 15 + 0
-23 + 2x = 15

Add '23' to each side of the equation.
-23 + 23 + 2x = 15 + 23

Combine like terms: -23 + 23 = 0
0 + 2x = 15 + 23
2x = 15 + 23

Combine like terms: 15 + 23 = 38
2x = 38

Divide each side by '2'.
x = 19

Simplifying
x = 19

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