0.6(4x-5)+4.5=0.25x-9.25

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Solution for 0.6(4x-5)+4.5=0.25x-9.25 equation: 


Simplifying
0.6(4x + -5) + 4.5 = 0.25x + -9.25

Reorder the terms:
0.6(-5 + 4x) + 4.5 = 0.25x + -9.25
(-5 * 0.6 + 4x * 0.6) + 4.5 = 0.25x + -9.25
(-3 + 2.4x) + 4.5 = 0.25x + -9.25

Reorder the terms:
-3 + 4.5 + 2.4x = 0.25x + -9.25

Combine like terms: -3 + 4.5 = 1.5
1.5 + 2.4x = 0.25x + -9.25

Reorder the terms:
1.5 + 2.4x = -9.25 + 0.25x

Solving
1.5 + 2.4x = -9.25 + 0.25x

Solving for variable 'x'.

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

Add '-0.25x' to each side of the equation.
1.5 + 2.4x + -0.25x = -9.25 + 0.25x + -0.25x

Combine like terms: 2.4x + -0.25x = 2.15x
1.5 + 2.15x = -9.25 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
1.5 + 2.15x = -9.25 + 0.00
1.5 + 2.15x = -9.25

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 2.15x = -9.25 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 2.15x = -9.25 + -1.5
2.15x = -9.25 + -1.5

Combine like terms: -9.25 + -1.5 = -10.75
2.15x = -10.75

Divide each side by '2.15'.
x = -5

Simplifying
x = -5

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