3.5+4-(3x-4)=0.35(x-3)+7.55

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Solution for 3.5+4-(3x-4)=0.35(x-3)+7.55 equation: 


Simplifying
3.5 + 4 + -1(3x + -4) = 0.35(x + -3) + 7.55

Reorder the terms:
3.5 + 4 + -1(-4 + 3x) = 0.35(x + -3) + 7.55
3.5 + 4 + (-4 * -1 + 3x * -1) = 0.35(x + -3) + 7.55
3.5 + 4 + (4 + -3x) = 0.35(x + -3) + 7.55

Combine like terms: 3.5 + 4 = 7.5
7.5 + 4 + -3x = 0.35(x + -3) + 7.55

Combine like terms: 7.5 + 4 = 11.5
11.5 + -3x = 0.35(x + -3) + 7.55

Reorder the terms:
11.5 + -3x = 0.35(-3 + x) + 7.55
11.5 + -3x = (-3 * 0.35 + x * 0.35) + 7.55
11.5 + -3x = (-1.05 + 0.35x) + 7.55

Reorder the terms:
11.5 + -3x = -1.05 + 7.55 + 0.35x

Combine like terms: -1.05 + 7.55 = 6.5
11.5 + -3x = 6.5 + 0.35x

Solving
11.5 + -3x = 6.5 + 0.35x

Solving for variable 'x'.

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

Add '-0.35x' to each side of the equation.
11.5 + -3x + -0.35x = 6.5 + 0.35x + -0.35x

Combine like terms: -3x + -0.35x = -3.35x
11.5 + -3.35x = 6.5 + 0.35x + -0.35x

Combine like terms: 0.35x + -0.35x = 0.00
11.5 + -3.35x = 6.5 + 0.00
11.5 + -3.35x = 6.5

Add '-11.5' to each side of the equation.
11.5 + -11.5 + -3.35x = 6.5 + -11.5

Combine like terms: 11.5 + -11.5 = 0.0
0.0 + -3.35x = 6.5 + -11.5
-3.35x = 6.5 + -11.5

Combine like terms: 6.5 + -11.5 = -5
-3.35x = -5

Divide each side by '-3.35'.
x = 1.492537313

Simplifying
x = 1.492537313

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