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

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Solution for 5(x-3)+4x=7(3-x) equation:


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

Reorder the terms:
5(-3 + x) + 4x = 7(3 + -1x)
(-3 * 5 + x * 5) + 4x = 7(3 + -1x)
(-15 + 5x) + 4x = 7(3 + -1x)

Combine like terms: 5x + 4x = 9x
-15 + 9x = 7(3 + -1x)
-15 + 9x = (3 * 7 + -1x * 7)
-15 + 9x = (21 + -7x)

Solving
-15 + 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.
-15 + 9x + 7x = 21 + -7x + 7x

Combine like terms: 9x + 7x = 16x
-15 + 16x = 21 + -7x + 7x

Combine like terms: -7x + 7x = 0
-15 + 16x = 21 + 0
-15 + 16x = 21

Add '15' to each side of the equation.
-15 + 15 + 16x = 21 + 15

Combine like terms: -15 + 15 = 0
0 + 16x = 21 + 15
16x = 21 + 15

Combine like terms: 21 + 15 = 36
16x = 36

Divide each side by '16'.
x = 2.25

Simplifying
x = 2.25

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