2(2x-8)+3x=4(x-5)+1

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Solution for 2(2x-8)+3x=4(x-5)+1 equation: 


Simplifying
2(2x + -8) + 3x = 4(x + -5) + 1

Reorder the terms:
2(-8 + 2x) + 3x = 4(x + -5) + 1
(-8 * 2 + 2x * 2) + 3x = 4(x + -5) + 1
(-16 + 4x) + 3x = 4(x + -5) + 1

Combine like terms: 4x + 3x = 7x
-16 + 7x = 4(x + -5) + 1

Reorder the terms:
-16 + 7x = 4(-5 + x) + 1
-16 + 7x = (-5 * 4 + x * 4) + 1
-16 + 7x = (-20 + 4x) + 1

Reorder the terms:
-16 + 7x = -20 + 1 + 4x

Combine like terms: -20 + 1 = -19
-16 + 7x = -19 + 4x

Solving
-16 + 7x = -19 + 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.
-16 + 7x + -4x = -19 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-16 + 3x = -19 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + 3x = -19 + 0
-16 + 3x = -19

Add '16' to each side of the equation.
-16 + 16 + 3x = -19 + 16

Combine like terms: -16 + 16 = 0
0 + 3x = -19 + 16
3x = -19 + 16

Combine like terms: -19 + 16 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1

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