34=x+4(3x+2)

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Solution for 34=x+4(3x+2) equation:


Simplifying
34 = x + 4(3x + 2)

Reorder the terms:
34 = x + 4(2 + 3x)
34 = x + (2 * 4 + 3x * 4)
34 = x + (8 + 12x)

Reorder the terms:
34 = 8 + x + 12x

Combine like terms: x + 12x = 13x
34 = 8 + 13x

Solving
34 = 8 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
34 + -13x = 8 + 13x + -13x

Combine like terms: 13x + -13x = 0
34 + -13x = 8 + 0
34 + -13x = 8

Add '-34' to each side of the equation.
34 + -34 + -13x = 8 + -34

Combine like terms: 34 + -34 = 0
0 + -13x = 8 + -34
-13x = 8 + -34

Combine like terms: 8 + -34 = -26
-13x = -26

Divide each side by '-13'.
x = 2

Simplifying
x = 2

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