6.1x-2.1(x+2)=3(x+1.5)

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Solution for 6.1x-2.1(x+2)=3(x+1.5) equation: 


Simplifying
6.1x + -2.1(x + 2) = 3(x + 1.5)

Reorder the terms:
6.1x + -2.1(2 + x) = 3(x + 1.5)
6.1x + (2 * -2.1 + x * -2.1) = 3(x + 1.5)
6.1x + (-4.2 + -2.1x) = 3(x + 1.5)

Reorder the terms:
-4.2 + 6.1x + -2.1x = 3(x + 1.5)

Combine like terms: 6.1x + -2.1x = 4x
-4.2 + 4x = 3(x + 1.5)

Reorder the terms:
-4.2 + 4x = 3(1.5 + x)
-4.2 + 4x = (1.5 * 3 + x * 3)
-4.2 + 4x = (4.5 + 3x)

Solving
-4.2 + 4x = 4.5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-4.2 + 4x + -3x = 4.5 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-4.2 + 1x = 4.5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4.2 + 1x = 4.5 + 0
-4.2 + 1x = 4.5

Add '4.2' to each side of the equation.
-4.2 + 4.2 + 1x = 4.5 + 4.2

Combine like terms: -4.2 + 4.2 = 0.0
0.0 + 1x = 4.5 + 4.2
1x = 4.5 + 4.2

Combine like terms: 4.5 + 4.2 = 8.7
1x = 8.7

Divide each side by '1'.
x = 8.7

Simplifying
x = 8.7

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