5.6(3.4x-2)+5.2=x-1

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Solution for 5.6(3.4x-2)+5.2=x-1 equation:


Simplifying
5.6(3.4x + -2) + 5.2 = x + -1

Reorder the terms:
5.6(-2 + 3.4x) + 5.2 = x + -1
(-2 * 5.6 + 3.4x * 5.6) + 5.2 = x + -1
(-11.2 + 19.04x) + 5.2 = x + -1

Reorder the terms:
-11.2 + 5.2 + 19.04x = x + -1

Combine like terms: -11.2 + 5.2 = -6
-6 + 19.04x = x + -1

Reorder the terms:
-6 + 19.04x = -1 + x

Solving
-6 + 19.04x = -1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 19.04x + -1x = -1 + x + -1x

Combine like terms: 19.04x + -1x = 18.04x
-6 + 18.04x = -1 + x + -1x

Combine like terms: x + -1x = 0
-6 + 18.04x = -1 + 0
-6 + 18.04x = -1

Add '6' to each side of the equation.
-6 + 6 + 18.04x = -1 + 6

Combine like terms: -6 + 6 = 0
0 + 18.04x = -1 + 6
18.04x = -1 + 6

Combine like terms: -1 + 6 = 5
18.04x = 5

Divide each side by '18.04'.
x = 0.2771618625

Simplifying
x = 0.2771618625

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