.7x+.45(5.6-x)=5.6*.7

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Solution for .7x+.45(5.6-x)=5.6*.7 equation: 


Simplifying
0.7x + 0.45(5.6 + -1x) = 5.6 * 0.7
0.7x + (5.6 * 0.45 + -1x * 0.45) = 5.6 * 0.7
0.7x + (2.52 + -0.45x) = 5.6 * 0.7

Reorder the terms:
2.52 + 0.7x + -0.45x = 5.6 * 0.7

Combine like terms: 0.7x + -0.45x = 0.25x
2.52 + 0.25x = 5.6 * 0.7

Multiply 5.6 * 0.7
2.52 + 0.25x = 3.92

Solving
2.52 + 0.25x = 3.92

Solving for variable 'x'.

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

Add '-2.52' to each side of the equation.
2.52 + -2.52 + 0.25x = 3.92 + -2.52

Combine like terms: 2.52 + -2.52 = 0.00
0.00 + 0.25x = 3.92 + -2.52
0.25x = 3.92 + -2.52

Combine like terms: 3.92 + -2.52 = 1.4
0.25x = 1.4

Divide each side by '0.25'.
x = 5.6

Simplifying
x = 5.6

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