1.3(x-2)=2(x+4)

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


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

Reorder the terms:
1.3(-2 + x) = 2(x + 4)
(-2 * 1.3 + x * 1.3) = 2(x + 4)
(-2.6 + 1.3x) = 2(x + 4)

Reorder the terms:
-2.6 + 1.3x = 2(4 + x)
-2.6 + 1.3x = (4 * 2 + x * 2)
-2.6 + 1.3x = (8 + 2x)

Solving
-2.6 + 1.3x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2.6 + 1.3x + -2x = 8 + 2x + -2x

Combine like terms: 1.3x + -2x = -0.7x
-2.6 + -0.7x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2.6 + -0.7x = 8 + 0
-2.6 + -0.7x = 8

Add '2.6' to each side of the equation.
-2.6 + 2.6 + -0.7x = 8 + 2.6

Combine like terms: -2.6 + 2.6 = 0.0
0.0 + -0.7x = 8 + 2.6
-0.7x = 8 + 2.6

Combine like terms: 8 + 2.6 = 10.6
-0.7x = 10.6

Divide each side by '-0.7'.
x = -15.14285714

Simplifying
x = -15.14285714

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