3(x-14)=4x+5

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


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

Reorder the terms:
3(-14 + x) = 4x + 5
(-14 * 3 + x * 3) = 4x + 5
(-42 + 3x) = 4x + 5

Reorder the terms:
-42 + 3x = 5 + 4x

Solving
-42 + 3x = 5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-42 + 3x + -4x = 5 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-42 + -1x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-42 + -1x = 5 + 0
-42 + -1x = 5

Add '42' to each side of the equation.
-42 + 42 + -1x = 5 + 42

Combine like terms: -42 + 42 = 0
0 + -1x = 5 + 42
-1x = 5 + 42

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

Divide each side by '-1'.
x = -47

Simplifying
x = -47

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