7(4-x)=3(x+11)

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Solution for 7(4-x)=3(x+11) equation: 


Simplifying
7(4 + -1x) = 3(x + 11)
(4 * 7 + -1x * 7) = 3(x + 11)
(28 + -7x) = 3(x + 11)

Reorder the terms:
28 + -7x = 3(11 + x)
28 + -7x = (11 * 3 + x * 3)
28 + -7x = (33 + 3x)

Solving
28 + -7x = 33 + 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.
28 + -7x + -3x = 33 + 3x + -3x

Combine like terms: -7x + -3x = -10x
28 + -10x = 33 + 3x + -3x

Combine like terms: 3x + -3x = 0
28 + -10x = 33 + 0
28 + -10x = 33

Add '-28' to each side of the equation.
28 + -28 + -10x = 33 + -28

Combine like terms: 28 + -28 = 0
0 + -10x = 33 + -28
-10x = 33 + -28

Combine like terms: 33 + -28 = 5
-10x = 5

Divide each side by '-10'.
x = -0.5

Simplifying
x = -0.5

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