4(x-6)-14=3(x+1)

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Solution for 4(x-6)-14=3(x+1) equation:


Simplifying
4(x + -6) + -14 = 3(x + 1)

Reorder the terms:
4(-6 + x) + -14 = 3(x + 1)
(-6 * 4 + x * 4) + -14 = 3(x + 1)
(-24 + 4x) + -14 = 3(x + 1)

Reorder the terms:
-24 + -14 + 4x = 3(x + 1)

Combine like terms: -24 + -14 = -38
-38 + 4x = 3(x + 1)

Reorder the terms:
-38 + 4x = 3(1 + x)
-38 + 4x = (1 * 3 + x * 3)
-38 + 4x = (3 + 3x)

Solving
-38 + 4x = 3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-38 + 4x + -3x = 3 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-38 + 1x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-38 + 1x = 3 + 0
-38 + 1x = 3

Add '38' to each side of the equation.
-38 + 38 + 1x = 3 + 38

Combine like terms: -38 + 38 = 0
0 + 1x = 3 + 38
1x = 3 + 38

Combine like terms: 3 + 38 = 41
1x = 41

Divide each side by '1'.
x = 41

Simplifying
x = 41

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