34=5x-3(x-4)

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Solution for 34=5x-3(x-4) equation:


Simplifying
34 = 5x + -3(x + -4)

Reorder the terms:
34 = 5x + -3(-4 + x)
34 = 5x + (-4 * -3 + x * -3)
34 = 5x + (12 + -3x)

Reorder the terms:
34 = 12 + 5x + -3x

Combine like terms: 5x + -3x = 2x
34 = 12 + 2x

Solving
34 = 12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
34 + -2x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
34 + -2x = 12 + 0
34 + -2x = 12

Add '-34' to each side of the equation.
34 + -34 + -2x = 12 + -34

Combine like terms: 34 + -34 = 0
0 + -2x = 12 + -34
-2x = 12 + -34

Combine like terms: 12 + -34 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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