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

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


Simplifying
7(x + -4) = 4(3 + -1x)

Reorder the terms:
7(-4 + x) = 4(3 + -1x)
(-4 * 7 + x * 7) = 4(3 + -1x)
(-28 + 7x) = 4(3 + -1x)
-28 + 7x = (3 * 4 + -1x * 4)
-28 + 7x = (12 + -4x)

Solving
-28 + 7x = 12 + -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.
-28 + 7x + 4x = 12 + -4x + 4x

Combine like terms: 7x + 4x = 11x
-28 + 11x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-28 + 11x = 12 + 0
-28 + 11x = 12

Add '28' to each side of the equation.
-28 + 28 + 11x = 12 + 28

Combine like terms: -28 + 28 = 0
0 + 11x = 12 + 28
11x = 12 + 28

Combine like terms: 12 + 28 = 40
11x = 40

Divide each side by '11'.
x = 3.636363636

Simplifying
x = 3.636363636

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