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

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


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

Reorder the terms:
4(-3 + x) = 5(x + 3)
(-3 * 4 + x * 4) = 5(x + 3)
(-12 + 4x) = 5(x + 3)

Reorder the terms:
-12 + 4x = 5(3 + x)
-12 + 4x = (3 * 5 + x * 5)
-12 + 4x = (15 + 5x)

Solving
-12 + 4x = 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.
-12 + 4x + -5x = 15 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-12 + -1x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + -1x = 15 + 0
-12 + -1x = 15

Add '12' to each side of the equation.
-12 + 12 + -1x = 15 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 15 + 12
-1x = 15 + 12

Combine like terms: 15 + 12 = 27
-1x = 27

Divide each side by '-1'.
x = -27

Simplifying
x = -27

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