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

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


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

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

Reorder the terms:
-4 + 4x = 3(6 + x)
-4 + 4x = (6 * 3 + x * 3)
-4 + 4x = (18 + 3x)

Solving
-4 + 4x = 18 + 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.
-4 + 4x + -3x = 18 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-4 + 1x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 1x = 18 + 0
-4 + 1x = 18

Add '4' to each side of the equation.
-4 + 4 + 1x = 18 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 18 + 4
1x = 18 + 4

Combine like terms: 18 + 4 = 22
1x = 22

Divide each side by '1'.
x = 22

Simplifying
x = 22

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