7(x+4)=32-7x

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Solution for 7(x+4)=32-7x equation:


Simplifying
7(x + 4) = 32 + -7x

Reorder the terms:
7(4 + x) = 32 + -7x
(4 * 7 + x * 7) = 32 + -7x
(28 + 7x) = 32 + -7x

Solving
28 + 7x = 32 + -7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7x' to each side of the equation.
28 + 7x + 7x = 32 + -7x + 7x

Combine like terms: 7x + 7x = 14x
28 + 14x = 32 + -7x + 7x

Combine like terms: -7x + 7x = 0
28 + 14x = 32 + 0
28 + 14x = 32

Add '-28' to each side of the equation.
28 + -28 + 14x = 32 + -28

Combine like terms: 28 + -28 = 0
0 + 14x = 32 + -28
14x = 32 + -28

Combine like terms: 32 + -28 = 4
14x = 4

Divide each side by '14'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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