1(x-11.2)=2.4(x+7.6)

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Solution for 1(x-11.2)=2.4(x+7.6) equation:


Simplifying
1(x + -11.2) = 2.4(x + 7.6)

Reorder the terms:
1(-11.2 + x) = 2.4(x + 7.6)
(-11.2 * 1 + x * 1) = 2.4(x + 7.6)
(-11.2 + 1x) = 2.4(x + 7.6)

Reorder the terms:
-11.2 + 1x = 2.4(7.6 + x)
-11.2 + 1x = (7.6 * 2.4 + x * 2.4)
-11.2 + 1x = (18.24 + 2.4x)

Solving
-11.2 + 1x = 18.24 + 2.4x

Solving for variable 'x'.

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

Add '-2.4x' to each side of the equation.
-11.2 + 1x + -2.4x = 18.24 + 2.4x + -2.4x

Combine like terms: 1x + -2.4x = -1.4x
-11.2 + -1.4x = 18.24 + 2.4x + -2.4x

Combine like terms: 2.4x + -2.4x = 0.0
-11.2 + -1.4x = 18.24 + 0.0
-11.2 + -1.4x = 18.24

Add '11.2' to each side of the equation.
-11.2 + 11.2 + -1.4x = 18.24 + 11.2

Combine like terms: -11.2 + 11.2 = 0.0
0.0 + -1.4x = 18.24 + 11.2
-1.4x = 18.24 + 11.2

Combine like terms: 18.24 + 11.2 = 29.44
-1.4x = 29.44

Divide each side by '-1.4'.
x = -21.02857143

Simplifying
x = -21.02857143

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