-2.1(1.7x+2.4)=0.2(x+0.41)

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Solution for -2.1(1.7x+2.4)=0.2(x+0.41) equation:


Simplifying
-2.1(1.7x + 2.4) = 0.2(x + 0.41)

Reorder the terms:
-2.1(2.4 + 1.7x) = 0.2(x + 0.41)
(2.4 * -2.1 + 1.7x * -2.1) = 0.2(x + 0.41)
(-5.04 + -3.57x) = 0.2(x + 0.41)

Reorder the terms:
-5.04 + -3.57x = 0.2(0.41 + x)
-5.04 + -3.57x = (0.41 * 0.2 + x * 0.2)
-5.04 + -3.57x = (0.082 + 0.2x)

Solving
-5.04 + -3.57x = 0.082 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
-5.04 + -3.57x + -0.2x = 0.082 + 0.2x + -0.2x

Combine like terms: -3.57x + -0.2x = -3.77x
-5.04 + -3.77x = 0.082 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-5.04 + -3.77x = 0.082 + 0.0
-5.04 + -3.77x = 0.082

Add '5.04' to each side of the equation.
-5.04 + 5.04 + -3.77x = 0.082 + 5.04

Combine like terms: -5.04 + 5.04 = 0.00
0.00 + -3.77x = 0.082 + 5.04
-3.77x = 0.082 + 5.04

Combine like terms: 0.082 + 5.04 = 5.122
-3.77x = 5.122

Divide each side by '-3.77'.
x = -1.35862069

Simplifying
x = -1.35862069

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