5(x-3)+18=49(x+2)

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Solution for 5(x-3)+18=49(x+2) equation:


Simplifying
5(x + -3) + 18 = 49(x + 2)

Reorder the terms:
5(-3 + x) + 18 = 49(x + 2)
(-3 * 5 + x * 5) + 18 = 49(x + 2)
(-15 + 5x) + 18 = 49(x + 2)

Reorder the terms:
-15 + 18 + 5x = 49(x + 2)

Combine like terms: -15 + 18 = 3
3 + 5x = 49(x + 2)

Reorder the terms:
3 + 5x = 49(2 + x)
3 + 5x = (2 * 49 + x * 49)
3 + 5x = (98 + 49x)

Solving
3 + 5x = 98 + 49x

Solving for variable 'x'.

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

Add '-49x' to each side of the equation.
3 + 5x + -49x = 98 + 49x + -49x

Combine like terms: 5x + -49x = -44x
3 + -44x = 98 + 49x + -49x

Combine like terms: 49x + -49x = 0
3 + -44x = 98 + 0
3 + -44x = 98

Add '-3' to each side of the equation.
3 + -3 + -44x = 98 + -3

Combine like terms: 3 + -3 = 0
0 + -44x = 98 + -3
-44x = 98 + -3

Combine like terms: 98 + -3 = 95
-44x = 95

Divide each side by '-44'.
x = -2.159090909

Simplifying
x = -2.159090909

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