3.1(x*2)-1.5=5.2(x-4)

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Solution for 3.1(x*2)-1.5=5.2(x-4) equation:


Simplifying
3.1(x * 2) + -1.5 = 5.2(x + -4)

Reorder the terms for easier multiplication:
3.1(2x) + -1.5 = 5.2(x + -4)

Remove parenthesis around (2x)
3.1 * 2x + -1.5 = 5.2(x + -4)

Multiply 3.1 * 2
6.2x + -1.5 = 5.2(x + -4)

Reorder the terms:
-1.5 + 6.2x = 5.2(x + -4)

Reorder the terms:
-1.5 + 6.2x = 5.2(-4 + x)
-1.5 + 6.2x = (-4 * 5.2 + x * 5.2)
-1.5 + 6.2x = (-20.8 + 5.2x)

Solving
-1.5 + 6.2x = -20.8 + 5.2x

Solving for variable 'x'.

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

Add '-5.2x' to each side of the equation.
-1.5 + 6.2x + -5.2x = -20.8 + 5.2x + -5.2x

Combine like terms: 6.2x + -5.2x = 1x
-1.5 + 1x = -20.8 + 5.2x + -5.2x

Combine like terms: 5.2x + -5.2x = 0.0
-1.5 + 1x = -20.8 + 0.0
-1.5 + 1x = -20.8

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 1x = -20.8 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 1x = -20.8 + 1.5
1x = -20.8 + 1.5

Combine like terms: -20.8 + 1.5 = -19.3
1x = -19.3

Divide each side by '1'.
x = -19.3

Simplifying
x = -19.3

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