1.75x+2.50(-x+407)=971.75

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Solution for 1.75x+2.50(-x+407)=971.75 equation: 


Simplifying
1.75x + 2.50(-1x + 407) = 971.75

Reorder the terms:
1.75x + 2.50(407 + -1x) = 971.75
1.75x + (407 * 2.50 + -1x * 2.50) = 971.75
1.75x + (1017.5 + -2.5x) = 971.75

Reorder the terms:
1017.5 + 1.75x + -2.5x = 971.75

Combine like terms: 1.75x + -2.5x = -0.75x
1017.5 + -0.75x = 971.75

Solving
1017.5 + -0.75x = 971.75

Solving for variable 'x'.

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

Add '-1017.5' to each side of the equation.
1017.5 + -1017.5 + -0.75x = 971.75 + -1017.5

Combine like terms: 1017.5 + -1017.5 = 0.0
0.0 + -0.75x = 971.75 + -1017.5
-0.75x = 971.75 + -1017.5

Combine like terms: 971.75 + -1017.5 = -45.75
-0.75x = -45.75

Divide each side by '-0.75'.
x = 61

Simplifying
x = 61

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