5(x-2)-15=4-(2x-5)

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Solution for 5(x-2)-15=4-(2x-5) equation:


Simplifying
5(x + -2) + -15 = 4 + -1(2x + -5)

Reorder the terms:
5(-2 + x) + -15 = 4 + -1(2x + -5)
(-2 * 5 + x * 5) + -15 = 4 + -1(2x + -5)
(-10 + 5x) + -15 = 4 + -1(2x + -5)

Reorder the terms:
-10 + -15 + 5x = 4 + -1(2x + -5)

Combine like terms: -10 + -15 = -25
-25 + 5x = 4 + -1(2x + -5)

Reorder the terms:
-25 + 5x = 4 + -1(-5 + 2x)
-25 + 5x = 4 + (-5 * -1 + 2x * -1)
-25 + 5x = 4 + (5 + -2x)

Combine like terms: 4 + 5 = 9
-25 + 5x = 9 + -2x

Solving
-25 + 5x = 9 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-25 + 5x + 2x = 9 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-25 + 7x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
-25 + 7x = 9 + 0
-25 + 7x = 9

Add '25' to each side of the equation.
-25 + 25 + 7x = 9 + 25

Combine like terms: -25 + 25 = 0
0 + 7x = 9 + 25
7x = 9 + 25

Combine like terms: 9 + 25 = 34
7x = 34

Divide each side by '7'.
x = 4.857142857

Simplifying
x = 4.857142857

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