2.1(0.2x-1.4)=1.3(0.4x-3.5)

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Solution for 2.1(0.2x-1.4)=1.3(0.4x-3.5) equation: 


Simplifying
2.1(0.2x + -1.4) = 1.3(0.4x + -3.5)

Reorder the terms:
2.1(-1.4 + 0.2x) = 1.3(0.4x + -3.5)
(-1.4 * 2.1 + 0.2x * 2.1) = 1.3(0.4x + -3.5)
(-2.94 + 0.42x) = 1.3(0.4x + -3.5)

Reorder the terms:
-2.94 + 0.42x = 1.3(-3.5 + 0.4x)
-2.94 + 0.42x = (-3.5 * 1.3 + 0.4x * 1.3)
-2.94 + 0.42x = (-4.55 + 0.52x)

Solving
-2.94 + 0.42x = -4.55 + 0.52x

Solving for variable 'x'.

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

Add '-0.52x' to each side of the equation.
-2.94 + 0.42x + -0.52x = -4.55 + 0.52x + -0.52x

Combine like terms: 0.42x + -0.52x = -0.1x
-2.94 + -0.1x = -4.55 + 0.52x + -0.52x

Combine like terms: 0.52x + -0.52x = 0.00
-2.94 + -0.1x = -4.55 + 0.00
-2.94 + -0.1x = -4.55

Add '2.94' to each side of the equation.
-2.94 + 2.94 + -0.1x = -4.55 + 2.94

Combine like terms: -2.94 + 2.94 = 0.00
0.00 + -0.1x = -4.55 + 2.94
-0.1x = -4.55 + 2.94

Combine like terms: -4.55 + 2.94 = -1.61
-0.1x = -1.61

Divide each side by '-0.1'.
x = 16.1

Simplifying
x = 16.1

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