9(4-x)=7(x-3)

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Solution for 9(4-x)=7(x-3) equation:


Simplifying
9(4 + -1x) = 7(x + -3)
(4 * 9 + -1x * 9) = 7(x + -3)
(36 + -9x) = 7(x + -3)

Reorder the terms:
36 + -9x = 7(-3 + x)
36 + -9x = (-3 * 7 + x * 7)
36 + -9x = (-21 + 7x)

Solving
36 + -9x = -21 + 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.
36 + -9x + -7x = -21 + 7x + -7x

Combine like terms: -9x + -7x = -16x
36 + -16x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
36 + -16x = -21 + 0
36 + -16x = -21

Add '-36' to each side of the equation.
36 + -36 + -16x = -21 + -36

Combine like terms: 36 + -36 = 0
0 + -16x = -21 + -36
-16x = -21 + -36

Combine like terms: -21 + -36 = -57
-16x = -57

Divide each side by '-16'.
x = 3.5625

Simplifying
x = 3.5625

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