7(0.25x-6.12)+2.25x=4.12x-23.56

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Solution for 7(0.25x-6.12)+2.25x=4.12x-23.56 equation:


Simplifying
7(0.25x + -6.12) + 2.25x = 4.12x + -23.56

Reorder the terms:
7(-6.12 + 0.25x) + 2.25x = 4.12x + -23.56
(-6.12 * 7 + 0.25x * 7) + 2.25x = 4.12x + -23.56
(-42.84 + 1.75x) + 2.25x = 4.12x + -23.56

Combine like terms: 1.75x + 2.25x = 4x
-42.84 + 4x = 4.12x + -23.56

Reorder the terms:
-42.84 + 4x = -23.56 + 4.12x

Solving
-42.84 + 4x = -23.56 + 4.12x

Solving for variable 'x'.

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

Add '-4.12x' to each side of the equation.
-42.84 + 4x + -4.12x = -23.56 + 4.12x + -4.12x

Combine like terms: 4x + -4.12x = -0.12x
-42.84 + -0.12x = -23.56 + 4.12x + -4.12x

Combine like terms: 4.12x + -4.12x = 0.00
-42.84 + -0.12x = -23.56 + 0.00
-42.84 + -0.12x = -23.56

Add '42.84' to each side of the equation.
-42.84 + 42.84 + -0.12x = -23.56 + 42.84

Combine like terms: -42.84 + 42.84 = 0.00
0.00 + -0.12x = -23.56 + 42.84
-0.12x = -23.56 + 42.84

Combine like terms: -23.56 + 42.84 = 19.28
-0.12x = 19.28

Divide each side by '-0.12'.
x = -160.6666667

Simplifying
x = -160.6666667

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