-13.62396+8x=1.1x+7.8(1.3x-3.5)

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Solution for -13.62396+8x=1.1x+7.8(1.3x-3.5) equation:


Simplifying
-13.62396 + 8x = 1.1x + 7.8(1.3x + -3.5)

Reorder the terms:
-13.62396 + 8x = 1.1x + 7.8(-3.5 + 1.3x)
-13.62396 + 8x = 1.1x + (-3.5 * 7.8 + 1.3x * 7.8)
-13.62396 + 8x = 1.1x + (-27.3 + 10.14x)

Reorder the terms:
-13.62396 + 8x = -27.3 + 1.1x + 10.14x

Combine like terms: 1.1x + 10.14x = 11.24x
-13.62396 + 8x = -27.3 + 11.24x

Solving
-13.62396 + 8x = -27.3 + 11.24x

Solving for variable 'x'.

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

Add '-11.24x' to each side of the equation.
-13.62396 + 8x + -11.24x = -27.3 + 11.24x + -11.24x

Combine like terms: 8x + -11.24x = -3.24x
-13.62396 + -3.24x = -27.3 + 11.24x + -11.24x

Combine like terms: 11.24x + -11.24x = 0.00
-13.62396 + -3.24x = -27.3 + 0.00
-13.62396 + -3.24x = -27.3

Add '13.62396' to each side of the equation.
-13.62396 + 13.62396 + -3.24x = -27.3 + 13.62396

Combine like terms: -13.62396 + 13.62396 = 0.00000
0.00000 + -3.24x = -27.3 + 13.62396
-3.24x = -27.3 + 13.62396

Combine like terms: -27.3 + 13.62396 = -13.67604
-3.24x = -13.67604

Divide each side by '-3.24'.
x = 4.221

Simplifying
x = 4.221

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