2=10(5.1)+30(5.1-x)

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Solution for 2=10(5.1)+30(5.1-x) equation:


Simplifying
2 = 10(5.1) + 30(5.1 + -1x)

Multiply 10 * 5.1
2 = 51 + 30(5.1 + -1x)
2 = 51 + (5.1 * 30 + -1x * 30)
2 = 51 + (153 + -30x)

Combine like terms: 51 + 153 = 204
2 = 204 + -30x

Solving
2 = 204 + -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
2 + 30x = 204 + -30x + 30x

Combine like terms: -30x + 30x = 0
2 + 30x = 204 + 0
2 + 30x = 204

Add '-2' to each side of the equation.
2 + -2 + 30x = 204 + -2

Combine like terms: 2 + -2 = 0
0 + 30x = 204 + -2
30x = 204 + -2

Combine like terms: 204 + -2 = 202
30x = 202

Divide each side by '30'.
x = 6.733333333

Simplifying
x = 6.733333333

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