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

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


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

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

Reorder the terms:
-98 + 49x = 2(3 + x)
-98 + 49x = (3 * 2 + x * 2)
-98 + 49x = (6 + 2x)

Solving
-98 + 49x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-98 + 49x + -2x = 6 + 2x + -2x

Combine like terms: 49x + -2x = 47x
-98 + 47x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-98 + 47x = 6 + 0
-98 + 47x = 6

Add '98' to each side of the equation.
-98 + 98 + 47x = 6 + 98

Combine like terms: -98 + 98 = 0
0 + 47x = 6 + 98
47x = 6 + 98

Combine like terms: 6 + 98 = 104
47x = 104

Divide each side by '47'.
x = 2.212765957

Simplifying
x = 2.212765957

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