2.1(x-1.5)=0.4(x-3)

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Solution for 2.1(x-1.5)=0.4(x-3) equation: 


Simplifying
2.1(x + -1.5) = 0.4(x + -3)

Reorder the terms:
2.1(-1.5 + x) = 0.4(x + -3)
(-1.5 * 2.1 + x * 2.1) = 0.4(x + -3)
(-3.15 + 2.1x) = 0.4(x + -3)

Reorder the terms:
-3.15 + 2.1x = 0.4(-3 + x)
-3.15 + 2.1x = (-3 * 0.4 + x * 0.4)
-3.15 + 2.1x = (-1.2 + 0.4x)

Solving
-3.15 + 2.1x = -1.2 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
-3.15 + 2.1x + -0.4x = -1.2 + 0.4x + -0.4x

Combine like terms: 2.1x + -0.4x = 1.7x
-3.15 + 1.7x = -1.2 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
-3.15 + 1.7x = -1.2 + 0.0
-3.15 + 1.7x = -1.2

Add '3.15' to each side of the equation.
-3.15 + 3.15 + 1.7x = -1.2 + 3.15

Combine like terms: -3.15 + 3.15 = 0.00
0.00 + 1.7x = -1.2 + 3.15
1.7x = -1.2 + 3.15

Combine like terms: -1.2 + 3.15 = 1.95
1.7x = 1.95

Divide each side by '1.7'.
x = 1.147058824

Simplifying
x = 1.147058824

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