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

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


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

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

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

Solving
-24 + 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.
-24 + 4x + -3x = 3 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-24 + 1x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-24 + 1x = 3 + 0
-24 + 1x = 3

Add '24' to each side of the equation.
-24 + 24 + 1x = 3 + 24

Combine like terms: -24 + 24 = 0
0 + 1x = 3 + 24
1x = 3 + 24

Combine like terms: 3 + 24 = 27
1x = 27

Divide each side by '1'.
x = 27

Simplifying
x = 27

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