-1.3(2x-5)=0.7(3-x)

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Solution for -1.3(2x-5)=0.7(3-x) equation:


Simplifying
-1.3(2x + -5) = 0.7(3 + -1x)

Reorder the terms:
-1.3(-5 + 2x) = 0.7(3 + -1x)
(-5 * -1.3 + 2x * -1.3) = 0.7(3 + -1x)
(6.5 + -2.6x) = 0.7(3 + -1x)
6.5 + -2.6x = (3 * 0.7 + -1x * 0.7)
6.5 + -2.6x = (2.1 + -0.7x)

Solving
6.5 + -2.6x = 2.1 + -0.7x

Solving for variable 'x'.

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

Add '0.7x' to each side of the equation.
6.5 + -2.6x + 0.7x = 2.1 + -0.7x + 0.7x

Combine like terms: -2.6x + 0.7x = -1.9x
6.5 + -1.9x = 2.1 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
6.5 + -1.9x = 2.1 + 0.0
6.5 + -1.9x = 2.1

Add '-6.5' to each side of the equation.
6.5 + -6.5 + -1.9x = 2.1 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -1.9x = 2.1 + -6.5
-1.9x = 2.1 + -6.5

Combine like terms: 2.1 + -6.5 = -4.4
-1.9x = -4.4

Divide each side by '-1.9'.
x = 2.315789474

Simplifying
x = 2.315789474

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