4(7-x)=5(x+2)

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Solution for 4(7-x)=5(x+2) equation:


Simplifying
4(7 + -1x) = 5(x + 2)
(7 * 4 + -1x * 4) = 5(x + 2)
(28 + -4x) = 5(x + 2)

Reorder the terms:
28 + -4x = 5(2 + x)
28 + -4x = (2 * 5 + x * 5)
28 + -4x = (10 + 5x)

Solving
28 + -4x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
28 + -4x + -5x = 10 + 5x + -5x

Combine like terms: -4x + -5x = -9x
28 + -9x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
28 + -9x = 10 + 0
28 + -9x = 10

Add '-28' to each side of the equation.
28 + -28 + -9x = 10 + -28

Combine like terms: 28 + -28 = 0
0 + -9x = 10 + -28
-9x = 10 + -28

Combine like terms: 10 + -28 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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