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

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


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

Reorder the terms:
4(-5 + 2x) + -5 = 4(x + -5) + 15
(-5 * 4 + 2x * 4) + -5 = 4(x + -5) + 15
(-20 + 8x) + -5 = 4(x + -5) + 15

Reorder the terms:
-20 + -5 + 8x = 4(x + -5) + 15

Combine like terms: -20 + -5 = -25
-25 + 8x = 4(x + -5) + 15

Reorder the terms:
-25 + 8x = 4(-5 + x) + 15
-25 + 8x = (-5 * 4 + x * 4) + 15
-25 + 8x = (-20 + 4x) + 15

Reorder the terms:
-25 + 8x = -20 + 15 + 4x

Combine like terms: -20 + 15 = -5
-25 + 8x = -5 + 4x

Solving
-25 + 8x = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-25 + 8x + -4x = -5 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-25 + 4x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-25 + 4x = -5 + 0
-25 + 4x = -5

Add '25' to each side of the equation.
-25 + 25 + 4x = -5 + 25

Combine like terms: -25 + 25 = 0
0 + 4x = -5 + 25
4x = -5 + 25

Combine like terms: -5 + 25 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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