5(x-3)=49-3x

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Solution for 5(x-3)=49-3x equation:


Simplifying
5(x + -3) = 49 + -3x

Reorder the terms:
5(-3 + x) = 49 + -3x
(-3 * 5 + x * 5) = 49 + -3x
(-15 + 5x) = 49 + -3x

Solving
-15 + 5x = 49 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
-15 + 5x + 3x = 49 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-15 + 8x = 49 + -3x + 3x

Combine like terms: -3x + 3x = 0
-15 + 8x = 49 + 0
-15 + 8x = 49

Add '15' to each side of the equation.
-15 + 15 + 8x = 49 + 15

Combine like terms: -15 + 15 = 0
0 + 8x = 49 + 15
8x = 49 + 15

Combine like terms: 49 + 15 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8

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