2.5x-1.3(x-2)=-9(x-3)

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Solution for 2.5x-1.3(x-2)=-9(x-3) equation: 


Simplifying
2.5x + -1.3(x + -2) = -9(x + -3)

Reorder the terms:
2.5x + -1.3(-2 + x) = -9(x + -3)
2.5x + (-2 * -1.3 + x * -1.3) = -9(x + -3)
2.5x + (2.6 + -1.3x) = -9(x + -3)

Reorder the terms:
2.6 + 2.5x + -1.3x = -9(x + -3)

Combine like terms: 2.5x + -1.3x = 1.2x
2.6 + 1.2x = -9(x + -3)

Reorder the terms:
2.6 + 1.2x = -9(-3 + x)
2.6 + 1.2x = (-3 * -9 + x * -9)
2.6 + 1.2x = (27 + -9x)

Solving
2.6 + 1.2x = 27 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
2.6 + 1.2x + 9x = 27 + -9x + 9x

Combine like terms: 1.2x + 9x = 10.2x
2.6 + 10.2x = 27 + -9x + 9x

Combine like terms: -9x + 9x = 0
2.6 + 10.2x = 27 + 0
2.6 + 10.2x = 27

Add '-2.6' to each side of the equation.
2.6 + -2.6 + 10.2x = 27 + -2.6

Combine like terms: 2.6 + -2.6 = 0.0
0.0 + 10.2x = 27 + -2.6
10.2x = 27 + -2.6

Combine like terms: 27 + -2.6 = 24.4
10.2x = 24.4

Divide each side by '10.2'.
x = 2.392156863

Simplifying
x = 2.392156863

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