34=2x+5(x-3)

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Solution for 34=2x+5(x-3) equation:


Simplifying
34 = 2x + 5(x + -3)

Reorder the terms:
34 = 2x + 5(-3 + x)
34 = 2x + (-3 * 5 + x * 5)
34 = 2x + (-15 + 5x)

Reorder the terms:
34 = -15 + 2x + 5x

Combine like terms: 2x + 5x = 7x
34 = -15 + 7x

Solving
34 = -15 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
34 + -7x = -15 + 7x + -7x

Combine like terms: 7x + -7x = 0
34 + -7x = -15 + 0
34 + -7x = -15

Add '-34' to each side of the equation.
34 + -34 + -7x = -15 + -34

Combine like terms: 34 + -34 = 0
0 + -7x = -15 + -34
-7x = -15 + -34

Combine like terms: -15 + -34 = -49
-7x = -49

Divide each side by '-7'.
x = 7

Simplifying
x = 7

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