7(4-x)+9=1+4(x-1)

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Solution for 7(4-x)+9=1+4(x-1) equation:


Simplifying
7(4 + -1x) + 9 = 1 + 4(x + -1)
(4 * 7 + -1x * 7) + 9 = 1 + 4(x + -1)
(28 + -7x) + 9 = 1 + 4(x + -1)

Reorder the terms:
28 + 9 + -7x = 1 + 4(x + -1)

Combine like terms: 28 + 9 = 37
37 + -7x = 1 + 4(x + -1)

Reorder the terms:
37 + -7x = 1 + 4(-1 + x)
37 + -7x = 1 + (-1 * 4 + x * 4)
37 + -7x = 1 + (-4 + 4x)

Combine like terms: 1 + -4 = -3
37 + -7x = -3 + 4x

Solving
37 + -7x = -3 + 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.
37 + -7x + -4x = -3 + 4x + -4x

Combine like terms: -7x + -4x = -11x
37 + -11x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
37 + -11x = -3 + 0
37 + -11x = -3

Add '-37' to each side of the equation.
37 + -37 + -11x = -3 + -37

Combine like terms: 37 + -37 = 0
0 + -11x = -3 + -37
-11x = -3 + -37

Combine like terms: -3 + -37 = -40
-11x = -40

Divide each side by '-11'.
x = 3.636363636

Simplifying
x = 3.636363636

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