3x-5=4(x-8)

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


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

Reorder the terms:
-5 + 3x = 4(x + -8)

Reorder the terms:
-5 + 3x = 4(-8 + x)
-5 + 3x = (-8 * 4 + x * 4)
-5 + 3x = (-32 + 4x)

Solving
-5 + 3x = -32 + 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.
-5 + 3x + -4x = -32 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-5 + -1x = -32 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + -1x = -32 + 0
-5 + -1x = -32

Add '5' to each side of the equation.
-5 + 5 + -1x = -32 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -32 + 5
-1x = -32 + 5

Combine like terms: -32 + 5 = -27
-1x = -27

Divide each side by '-1'.
x = 27

Simplifying
x = 27

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