3(x-4)+2(5x)=14

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Solution for 3(x-4)+2(5x)=14 equation:


Simplifying
3(x + -4) + 2(5x) = 14

Reorder the terms:
3(-4 + x) + 2(5x) = 14
(-4 * 3 + x * 3) + 2(5x) = 14
(-12 + 3x) + 2(5x) = 14

Remove parenthesis around (5x)
-12 + 3x + 2 * 5x = 14

Multiply 2 * 5
-12 + 3x + 10x = 14

Combine like terms: 3x + 10x = 13x
-12 + 13x = 14

Solving
-12 + 13x = 14

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 13x = 14 + 12

Combine like terms: -12 + 12 = 0
0 + 13x = 14 + 12
13x = 14 + 12

Combine like terms: 14 + 12 = 26
13x = 26

Divide each side by '13'.
x = 2

Simplifying
x = 2

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