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

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


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

Reorder the terms:
5(2 + x) = 7(4 + -1x)
(2 * 5 + x * 5) = 7(4 + -1x)
(10 + 5x) = 7(4 + -1x)
10 + 5x = (4 * 7 + -1x * 7)
10 + 5x = (28 + -7x)

Solving
10 + 5x = 28 + -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.
10 + 5x + 7x = 28 + -7x + 7x

Combine like terms: 5x + 7x = 12x
10 + 12x = 28 + -7x + 7x

Combine like terms: -7x + 7x = 0
10 + 12x = 28 + 0
10 + 12x = 28

Add '-10' to each side of the equation.
10 + -10 + 12x = 28 + -10

Combine like terms: 10 + -10 = 0
0 + 12x = 28 + -10
12x = 28 + -10

Combine like terms: 28 + -10 = 18
12x = 18

Divide each side by '12'.
x = 1.5

Simplifying
x = 1.5

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