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

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


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

Reorder the terms:
5(-3 + x) = -4(x + 4) + 49
(-3 * 5 + x * 5) = -4(x + 4) + 49
(-15 + 5x) = -4(x + 4) + 49

Reorder the terms:
-15 + 5x = -4(4 + x) + 49
-15 + 5x = (4 * -4 + x * -4) + 49
-15 + 5x = (-16 + -4x) + 49

Reorder the terms:
-15 + 5x = -16 + 49 + -4x

Combine like terms: -16 + 49 = 33
-15 + 5x = 33 + -4x

Solving
-15 + 5x = 33 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-15 + 5x + 4x = 33 + -4x + 4x

Combine like terms: 5x + 4x = 9x
-15 + 9x = 33 + -4x + 4x

Combine like terms: -4x + 4x = 0
-15 + 9x = 33 + 0
-15 + 9x = 33

Add '15' to each side of the equation.
-15 + 15 + 9x = 33 + 15

Combine like terms: -15 + 15 = 0
0 + 9x = 33 + 15
9x = 33 + 15

Combine like terms: 33 + 15 = 48
9x = 48

Divide each side by '9'.
x = 5.333333333

Simplifying
x = 5.333333333

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