2.1(x-1)=1.8(x-0.5)

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Solution for 2.1(x-1)=1.8(x-0.5) equation: 


Simplifying
2.1(x + -1) = 1.8(x + -0.5)

Reorder the terms:
2.1(-1 + x) = 1.8(x + -0.5)
(-1 * 2.1 + x * 2.1) = 1.8(x + -0.5)
(-2.1 + 2.1x) = 1.8(x + -0.5)

Reorder the terms:
-2.1 + 2.1x = 1.8(-0.5 + x)
-2.1 + 2.1x = (-0.5 * 1.8 + x * 1.8)
-2.1 + 2.1x = (-0.9 + 1.8x)

Solving
-2.1 + 2.1x = -0.9 + 1.8x

Solving for variable 'x'.

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

Add '-1.8x' to each side of the equation.
-2.1 + 2.1x + -1.8x = -0.9 + 1.8x + -1.8x

Combine like terms: 2.1x + -1.8x = 0.3x
-2.1 + 0.3x = -0.9 + 1.8x + -1.8x

Combine like terms: 1.8x + -1.8x = 0.0
-2.1 + 0.3x = -0.9 + 0.0
-2.1 + 0.3x = -0.9

Add '2.1' to each side of the equation.
-2.1 + 2.1 + 0.3x = -0.9 + 2.1

Combine like terms: -2.1 + 2.1 = 0.0
0.0 + 0.3x = -0.9 + 2.1
0.3x = -0.9 + 2.1

Combine like terms: -0.9 + 2.1 = 1.2
0.3x = 1.2

Divide each side by '0.3'.
x = 4

Simplifying
x = 4

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