4x+3(14-x)+4(3x)=172

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Solution for 4x+3(14-x)+4(3x)=172 equation: 


Simplifying
4x + 3(14 + -1x) + 4(3x) = 172
4x + (14 * 3 + -1x * 3) + 4(3x) = 172
4x + (42 + -3x) + 4(3x) = 172

Remove parenthesis around (3x)
4x + 42 + -3x + 4 * 3x = 172

Multiply 4 * 3
4x + 42 + -3x + 12x = 172

Reorder the terms:
42 + 4x + -3x + 12x = 172

Combine like terms: 4x + -3x = 1x
42 + 1x + 12x = 172

Combine like terms: 1x + 12x = 13x
42 + 13x = 172

Solving
42 + 13x = 172

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + 13x = 172 + -42

Combine like terms: 42 + -42 = 0
0 + 13x = 172 + -42
13x = 172 + -42

Combine like terms: 172 + -42 = 130
13x = 130

Divide each side by '13'.
x = 10

Simplifying
x = 10

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