2.3(x-4)=1.3(2x-6)

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Solution for 2.3(x-4)=1.3(2x-6) equation: 


Simplifying
2.3(x + -4) = 1.3(2x + -6)

Reorder the terms:
2.3(-4 + x) = 1.3(2x + -6)
(-4 * 2.3 + x * 2.3) = 1.3(2x + -6)
(-9.2 + 2.3x) = 1.3(2x + -6)

Reorder the terms:
-9.2 + 2.3x = 1.3(-6 + 2x)
-9.2 + 2.3x = (-6 * 1.3 + 2x * 1.3)
-9.2 + 2.3x = (-7.8 + 2.6x)

Solving
-9.2 + 2.3x = -7.8 + 2.6x

Solving for variable 'x'.

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

Add '-2.6x' to each side of the equation.
-9.2 + 2.3x + -2.6x = -7.8 + 2.6x + -2.6x

Combine like terms: 2.3x + -2.6x = -0.3x
-9.2 + -0.3x = -7.8 + 2.6x + -2.6x

Combine like terms: 2.6x + -2.6x = 0.0
-9.2 + -0.3x = -7.8 + 0.0
-9.2 + -0.3x = -7.8

Add '9.2' to each side of the equation.
-9.2 + 9.2 + -0.3x = -7.8 + 9.2

Combine like terms: -9.2 + 9.2 = 0.0
0.0 + -0.3x = -7.8 + 9.2
-0.3x = -7.8 + 9.2

Combine like terms: -7.8 + 9.2 = 1.4
-0.3x = 1.4

Divide each side by '-0.3'.
x = -4.666666667

Simplifying
x = -4.666666667

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