4(1-x)=3(x+9)

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Solution for 4(1-x)=3(x+9) equation:


Simplifying
4(1 + -1x) = 3(x + 9)
(1 * 4 + -1x * 4) = 3(x + 9)
(4 + -4x) = 3(x + 9)

Reorder the terms:
4 + -4x = 3(9 + x)
4 + -4x = (9 * 3 + x * 3)
4 + -4x = (27 + 3x)

Solving
4 + -4x = 27 + 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 = 27 + 3x + -3x

Combine like terms: -4x + -3x = -7x
4 + -7x = 27 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -7x = 27 + 0
4 + -7x = 27

Add '-4' to each side of the equation.
4 + -4 + -7x = 27 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 27 + -4
-7x = 27 + -4

Combine like terms: 27 + -4 = 23
-7x = 23

Divide each side by '-7'.
x = -3.285714286

Simplifying
x = -3.285714286

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