4x-(-3.5)=.75(5x+2)-.3x

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Solution for 4x-(-3.5)=.75(5x+2)-.3x equation: 


Simplifying
4x + -1(-3.5) = 0.75(5x + 2) + -0.3x

Multiply -1 * -3.5
4x + 3.5 = 0.75(5x + 2) + -0.3x

Reorder the terms:
3.5 + 4x = 0.75(5x + 2) + -0.3x

Reorder the terms:
3.5 + 4x = 0.75(2 + 5x) + -0.3x
3.5 + 4x = (2 * 0.75 + 5x * 0.75) + -0.3x
3.5 + 4x = (1.5 + 3.75x) + -0.3x

Combine like terms: 3.75x + -0.3x = 3.45x
3.5 + 4x = 1.5 + 3.45x

Solving
3.5 + 4x = 1.5 + 3.45x

Solving for variable 'x'.

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

Add '-3.45x' to each side of the equation.
3.5 + 4x + -3.45x = 1.5 + 3.45x + -3.45x

Combine like terms: 4x + -3.45x = 0.55x
3.5 + 0.55x = 1.5 + 3.45x + -3.45x

Combine like terms: 3.45x + -3.45x = 0.00
3.5 + 0.55x = 1.5 + 0.00
3.5 + 0.55x = 1.5

Add '-3.5' to each side of the equation.
3.5 + -3.5 + 0.55x = 1.5 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 0.55x = 1.5 + -3.5
0.55x = 1.5 + -3.5

Combine like terms: 1.5 + -3.5 = -2
0.55x = -2

Divide each side by '0.55'.
x = -3.636363636

Simplifying
x = -3.636363636

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