15.5-4x=-6(3.5x-7)

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Solution for 15.5-4x=-6(3.5x-7) equation: 


Simplifying
15.5 + -4x = -6(3.5x + -7)

Reorder the terms:
15.5 + -4x = -6(-7 + 3.5x)
15.5 + -4x = (-7 * -6 + 3.5x * -6)
15.5 + -4x = (42 + -21x)

Solving
15.5 + -4x = 42 + -21x

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
15.5 + -4x + 21x = 42 + -21x + 21x

Combine like terms: -4x + 21x = 17x
15.5 + 17x = 42 + -21x + 21x

Combine like terms: -21x + 21x = 0
15.5 + 17x = 42 + 0
15.5 + 17x = 42

Add '-15.5' to each side of the equation.
15.5 + -15.5 + 17x = 42 + -15.5

Combine like terms: 15.5 + -15.5 = 0.0
0.0 + 17x = 42 + -15.5
17x = 42 + -15.5

Combine like terms: 42 + -15.5 = 26.5
17x = 26.5

Divide each side by '17'.
x = 1.558823529

Simplifying
x = 1.558823529

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