34=6x+5(x-2)

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Solution for 34=6x+5(x-2) equation:


Simplifying
34 = 6x + 5(x + -2)

Reorder the terms:
34 = 6x + 5(-2 + x)
34 = 6x + (-2 * 5 + x * 5)
34 = 6x + (-10 + 5x)

Reorder the terms:
34 = -10 + 6x + 5x

Combine like terms: 6x + 5x = 11x
34 = -10 + 11x

Solving
34 = -10 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
34 + -11x = -10 + 11x + -11x

Combine like terms: 11x + -11x = 0
34 + -11x = -10 + 0
34 + -11x = -10

Add '-34' to each side of the equation.
34 + -34 + -11x = -10 + -34

Combine like terms: 34 + -34 = 0
0 + -11x = -10 + -34
-11x = -10 + -34

Combine like terms: -10 + -34 = -44
-11x = -44

Divide each side by '-11'.
x = 4

Simplifying
x = 4

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