6(x-4)-5=4x+1

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Solution for 6(x-4)-5=4x+1 equation:


Simplifying
6(x + -4) + -5 = 4x + 1

Reorder the terms:
6(-4 + x) + -5 = 4x + 1
(-4 * 6 + x * 6) + -5 = 4x + 1
(-24 + 6x) + -5 = 4x + 1

Reorder the terms:
-24 + -5 + 6x = 4x + 1

Combine like terms: -24 + -5 = -29
-29 + 6x = 4x + 1

Reorder the terms:
-29 + 6x = 1 + 4x

Solving
-29 + 6x = 1 + 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.
-29 + 6x + -4x = 1 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-29 + 2x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-29 + 2x = 1 + 0
-29 + 2x = 1

Add '29' to each side of the equation.
-29 + 29 + 2x = 1 + 29

Combine like terms: -29 + 29 = 0
0 + 2x = 1 + 29
2x = 1 + 29

Combine like terms: 1 + 29 = 30
2x = 30

Divide each side by '2'.
x = 15

Simplifying
x = 15

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