4(4x-5)+5x=4x-15+13x

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Solution for 4(4x-5)+5x=4x-15+13x equation:


Simplifying
4(4x + -5) + 5x = 4x + -15 + 13x

Reorder the terms:
4(-5 + 4x) + 5x = 4x + -15 + 13x
(-5 * 4 + 4x * 4) + 5x = 4x + -15 + 13x
(-20 + 16x) + 5x = 4x + -15 + 13x

Combine like terms: 16x + 5x = 21x
-20 + 21x = 4x + -15 + 13x

Reorder the terms:
-20 + 21x = -15 + 4x + 13x

Combine like terms: 4x + 13x = 17x
-20 + 21x = -15 + 17x

Solving
-20 + 21x = -15 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
-20 + 21x + -17x = -15 + 17x + -17x

Combine like terms: 21x + -17x = 4x
-20 + 4x = -15 + 17x + -17x

Combine like terms: 17x + -17x = 0
-20 + 4x = -15 + 0
-20 + 4x = -15

Add '20' to each side of the equation.
-20 + 20 + 4x = -15 + 20

Combine like terms: -20 + 20 = 0
0 + 4x = -15 + 20
4x = -15 + 20

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

Divide each side by '4'.
x = 1.25

Simplifying
x = 1.25

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