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

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


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

Reorder the terms:
3(-7 + x) = -5(x + -3)
(-7 * 3 + x * 3) = -5(x + -3)
(-21 + 3x) = -5(x + -3)

Reorder the terms:
-21 + 3x = -5(-3 + x)
-21 + 3x = (-3 * -5 + x * -5)
-21 + 3x = (15 + -5x)

Solving
-21 + 3x = 15 + -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.
-21 + 3x + 5x = 15 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-21 + 8x = 15 + -5x + 5x

Combine like terms: -5x + 5x = 0
-21 + 8x = 15 + 0
-21 + 8x = 15

Add '21' to each side of the equation.
-21 + 21 + 8x = 15 + 21

Combine like terms: -21 + 21 = 0
0 + 8x = 15 + 21
8x = 15 + 21

Combine like terms: 15 + 21 = 36
8x = 36

Divide each side by '8'.
x = 4.5

Simplifying
x = 4.5

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