0.65(x)+0.2(x+60)+0.15(x+60+1000)=200

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Solution for 0.65(x)+0.2(x+60)+0.15(x+60+1000)=200 equation:


Simplifying
0.65(x) + 0.2(x + 60) + 0.15(x + 60 + 1000) = 200

Reorder the terms:
0.65x + 0.2(60 + x) + 0.15(x + 60 + 1000) = 200
0.65x + (60 * 0.2 + x * 0.2) + 0.15(x + 60 + 1000) = 200
0.65x + (12 + 0.2x) + 0.15(x + 60 + 1000) = 200

Reorder the terms:
0.65x + 12 + 0.2x + 0.15(60 + 1000 + x) = 200

Combine like terms: 60 + 1000 = 1060
0.65x + 12 + 0.2x + 0.15(1060 + x) = 200
0.65x + 12 + 0.2x + (1060 * 0.15 + x * 0.15) = 200
0.65x + 12 + 0.2x + (159 + 0.15x) = 200

Reorder the terms:
12 + 159 + 0.65x + 0.2x + 0.15x = 200

Combine like terms: 12 + 159 = 171
171 + 0.65x + 0.2x + 0.15x = 200

Combine like terms: 0.65x + 0.2x = 0.85x
171 + 0.85x + 0.15x = 200

Combine like terms: 0.85x + 0.15x = 1x
171 + 1x = 200

Solving
171 + 1x = 200

Solving for variable 'x'.

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

Add '-171' to each side of the equation.
171 + -171 + 1x = 200 + -171

Combine like terms: 171 + -171 = 0
0 + 1x = 200 + -171
1x = 200 + -171

Combine like terms: 200 + -171 = 29
1x = 29

Divide each side by '1'.
x = 29

Simplifying
x = 29

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