5x-34=8(x-5)

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Solution for 5x-34=8(x-5) equation:


Simplifying
5x + -34 = 8(x + -5)

Reorder the terms:
-34 + 5x = 8(x + -5)

Reorder the terms:
-34 + 5x = 8(-5 + x)
-34 + 5x = (-5 * 8 + x * 8)
-34 + 5x = (-40 + 8x)

Solving
-34 + 5x = -40 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-34 + 5x + -8x = -40 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-34 + -3x = -40 + 8x + -8x

Combine like terms: 8x + -8x = 0
-34 + -3x = -40 + 0
-34 + -3x = -40

Add '34' to each side of the equation.
-34 + 34 + -3x = -40 + 34

Combine like terms: -34 + 34 = 0
0 + -3x = -40 + 34
-3x = -40 + 34

Combine like terms: -40 + 34 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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