x+4(4x-20)=2x-23

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Solution for x+4(4x-20)=2x-23 equation:


Simplifying
x + 4(4x + -20) = 2x + -23

Reorder the terms:
x + 4(-20 + 4x) = 2x + -23
x + (-20 * 4 + 4x * 4) = 2x + -23
x + (-80 + 16x) = 2x + -23

Reorder the terms:
-80 + x + 16x = 2x + -23

Combine like terms: x + 16x = 17x
-80 + 17x = 2x + -23

Reorder the terms:
-80 + 17x = -23 + 2x

Solving
-80 + 17x = -23 + 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.
-80 + 17x + -2x = -23 + 2x + -2x

Combine like terms: 17x + -2x = 15x
-80 + 15x = -23 + 2x + -2x

Combine like terms: 2x + -2x = 0
-80 + 15x = -23 + 0
-80 + 15x = -23

Add '80' to each side of the equation.
-80 + 80 + 15x = -23 + 80

Combine like terms: -80 + 80 = 0
0 + 15x = -23 + 80
15x = -23 + 80

Combine like terms: -23 + 80 = 57
15x = 57

Divide each side by '15'.
x = 3.8

Simplifying
x = 3.8

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