6x+3(-.2789)=4(2x+.3912)

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Solution for 6x+3(-.2789)=4(2x+.3912) equation:


Simplifying
6x + 3(-0.2789) = 4(2x + 0.3912)

Multiply 3 * -0.2789
6x + -0.8367 = 4(2x + 0.3912)

Reorder the terms:
-0.8367 + 6x = 4(2x + 0.3912)

Reorder the terms:
-0.8367 + 6x = 4(0.3912 + 2x)
-0.8367 + 6x = (0.3912 * 4 + 2x * 4)
-0.8367 + 6x = (1.5648 + 8x)

Solving
-0.8367 + 6x = 1.5648 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-0.8367 + 6x + -8x = 1.5648 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-0.8367 + -2x = 1.5648 + 8x + -8x

Combine like terms: 8x + -8x = 0
-0.8367 + -2x = 1.5648 + 0
-0.8367 + -2x = 1.5648

Add '0.8367' to each side of the equation.
-0.8367 + 0.8367 + -2x = 1.5648 + 0.8367

Combine like terms: -0.8367 + 0.8367 = 0.0000
0.0000 + -2x = 1.5648 + 0.8367
-2x = 1.5648 + 0.8367

Combine like terms: 1.5648 + 0.8367 = 2.4015
-2x = 2.4015

Divide each side by '-2'.
x = -1.20075

Simplifying
x = -1.20075

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