3(x-4)=-5(x+3)+49

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Solution for 3(x-4)=-5(x+3)+49 equation:


Simplifying
3(x + -4) = -5(x + 3) + 49

Reorder the terms:
3(-4 + x) = -5(x + 3) + 49
(-4 * 3 + x * 3) = -5(x + 3) + 49
(-12 + 3x) = -5(x + 3) + 49

Reorder the terms:
-12 + 3x = -5(3 + x) + 49
-12 + 3x = (3 * -5 + x * -5) + 49
-12 + 3x = (-15 + -5x) + 49

Reorder the terms:
-12 + 3x = -15 + 49 + -5x

Combine like terms: -15 + 49 = 34
-12 + 3x = 34 + -5x

Solving
-12 + 3x = 34 + -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 + 3x + 5x = 34 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-12 + 8x = 34 + -5x + 5x

Combine like terms: -5x + 5x = 0
-12 + 8x = 34 + 0
-12 + 8x = 34

Add '12' to each side of the equation.
-12 + 12 + 8x = 34 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 34 + 12
8x = 34 + 12

Combine like terms: 34 + 12 = 46
8x = 46

Divide each side by '8'.
x = 5.75

Simplifying
x = 5.75

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