-4(x-3.1)=2.1(X-4)+3.5x

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Solution for -4(x-3.1)=2.1(X-4)+3.5x equation: 


Simplifying
-4(x + -3.1) = 2.1(X + -4) + 3.5x

Reorder the terms:
-4(-3.1 + x) = 2.1(X + -4) + 3.5x
(-3.1 * -4 + x * -4) = 2.1(X + -4) + 3.5x
(12.4 + -4x) = 2.1(X + -4) + 3.5x

Reorder the terms:
12.4 + -4x = 2.1(-4 + X) + 3.5x
12.4 + -4x = (-4 * 2.1 + X * 2.1) + 3.5x
12.4 + -4x = (-8.4 + 2.1X) + 3.5x

Solving
12.4 + -4x = -8.4 + 2.1X + 3.5x

Solving for variable 'x'.

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

Add '-3.5x' to each side of the equation.
12.4 + -4x + -3.5x = -8.4 + 2.1X + 3.5x + -3.5x

Combine like terms: -4x + -3.5x = -7.5x
12.4 + -7.5x = -8.4 + 2.1X + 3.5x + -3.5x

Combine like terms: 3.5x + -3.5x = 0.0
12.4 + -7.5x = -8.4 + 2.1X + 0.0
12.4 + -7.5x = -8.4 + 2.1X

Add '-12.4' to each side of the equation.
12.4 + -12.4 + -7.5x = -8.4 + -12.4 + 2.1X

Combine like terms: 12.4 + -12.4 = 0.0
0.0 + -7.5x = -8.4 + -12.4 + 2.1X
-7.5x = -8.4 + -12.4 + 2.1X

Combine like terms: -8.4 + -12.4 = -20.8
-7.5x = -20.8 + 2.1X

Divide each side by '-7.5'.
x = 2.773333333 + -0.28X

Simplifying
x = 2.773333333 + -0.28X

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