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

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


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

Reorder the terms:
4(4 + 3x) + -3(2x + 2) = 34
(4 * 4 + 3x * 4) + -3(2x + 2) = 34
(16 + 12x) + -3(2x + 2) = 34

Reorder the terms:
16 + 12x + -3(2 + 2x) = 34
16 + 12x + (2 * -3 + 2x * -3) = 34
16 + 12x + (-6 + -6x) = 34

Reorder the terms:
16 + -6 + 12x + -6x = 34

Combine like terms: 16 + -6 = 10
10 + 12x + -6x = 34

Combine like terms: 12x + -6x = 6x
10 + 6x = 34

Solving
10 + 6x = 34

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 6x = 34 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = 34 + -10
6x = 34 + -10

Combine like terms: 34 + -10 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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