14(x-2)+3x=42-(x-5)

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Solution for 14(x-2)+3x=42-(x-5) equation:


Simplifying
14(x + -2) + 3x = 42 + -1(x + -5)

Reorder the terms:
14(-2 + x) + 3x = 42 + -1(x + -5)
(-2 * 14 + x * 14) + 3x = 42 + -1(x + -5)
(-28 + 14x) + 3x = 42 + -1(x + -5)

Combine like terms: 14x + 3x = 17x
-28 + 17x = 42 + -1(x + -5)

Reorder the terms:
-28 + 17x = 42 + -1(-5 + x)
-28 + 17x = 42 + (-5 * -1 + x * -1)
-28 + 17x = 42 + (5 + -1x)

Combine like terms: 42 + 5 = 47
-28 + 17x = 47 + -1x

Solving
-28 + 17x = 47 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-28 + 17x + x = 47 + -1x + x

Combine like terms: 17x + x = 18x
-28 + 18x = 47 + -1x + x

Combine like terms: -1x + x = 0
-28 + 18x = 47 + 0
-28 + 18x = 47

Add '28' to each side of the equation.
-28 + 28 + 18x = 47 + 28

Combine like terms: -28 + 28 = 0
0 + 18x = 47 + 28
18x = 47 + 28

Combine like terms: 47 + 28 = 75
18x = 75

Divide each side by '18'.
x = 4.166666667

Simplifying
x = 4.166666667

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