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

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


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

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

Reorder the terms:
-21 + 7x = -5(3 + x)
-21 + 7x = (3 * -5 + x * -5)
-21 + 7x = (-15 + -5x)

Solving
-21 + 7x = -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 + 7x + 5x = -15 + -5x + 5x

Combine like terms: 7x + 5x = 12x
-21 + 12x = -15 + -5x + 5x

Combine like terms: -5x + 5x = 0
-21 + 12x = -15 + 0
-21 + 12x = -15

Add '21' to each side of the equation.
-21 + 21 + 12x = -15 + 21

Combine like terms: -21 + 21 = 0
0 + 12x = -15 + 21
12x = -15 + 21

Combine like terms: -15 + 21 = 6
12x = 6

Divide each side by '12'.
x = 0.5

Simplifying
x = 0.5

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