0.45(x)+0.50(4)=0.49(x+6)

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Solution for 0.45(x)+0.50(4)=0.49(x+6) equation: 


Simplifying
0.45(x) + 0.50(4) = 0.49(x + 6)

Multiply 0.50 * 4
0.45x + 2 = 0.49(x + 6)

Reorder the terms:
2 + 0.45x = 0.49(x + 6)

Reorder the terms:
2 + 0.45x = 0.49(6 + x)
2 + 0.45x = (6 * 0.49 + x * 0.49)
2 + 0.45x = (2.94 + 0.49x)

Solving
2 + 0.45x = 2.94 + 0.49x

Solving for variable 'x'.

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

Add '-0.49x' to each side of the equation.
2 + 0.45x + -0.49x = 2.94 + 0.49x + -0.49x

Combine like terms: 0.45x + -0.49x = -0.04x
2 + -0.04x = 2.94 + 0.49x + -0.49x

Combine like terms: 0.49x + -0.49x = 0.00
2 + -0.04x = 2.94 + 0.00
2 + -0.04x = 2.94

Add '-2' to each side of the equation.
2 + -2 + -0.04x = 2.94 + -2

Combine like terms: 2 + -2 = 0
0 + -0.04x = 2.94 + -2
-0.04x = 2.94 + -2

Combine like terms: 2.94 + -2 = 0.94
-0.04x = 0.94

Divide each side by '-0.04'.
x = -23.5

Simplifying
x = -23.5

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