2(x-1.2)=3(x+1.4)-1.9

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Solution for 2(x-1.2)=3(x+1.4)-1.9 equation:


Simplifying
2(x + -1.2) = 3(x + 1.4) + -1.9

Reorder the terms:
2(-1.2 + x) = 3(x + 1.4) + -1.9
(-1.2 * 2 + x * 2) = 3(x + 1.4) + -1.9
(-2.4 + 2x) = 3(x + 1.4) + -1.9

Reorder the terms:
-2.4 + 2x = 3(1.4 + x) + -1.9
-2.4 + 2x = (1.4 * 3 + x * 3) + -1.9
-2.4 + 2x = (4.2 + 3x) + -1.9

Reorder the terms:
-2.4 + 2x = 4.2 + -1.9 + 3x

Combine like terms: 4.2 + -1.9 = 2.3
-2.4 + 2x = 2.3 + 3x

Solving
-2.4 + 2x = 2.3 + 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.
-2.4 + 2x + -3x = 2.3 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-2.4 + -1x = 2.3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2.4 + -1x = 2.3 + 0
-2.4 + -1x = 2.3

Add '2.4' to each side of the equation.
-2.4 + 2.4 + -1x = 2.3 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + -1x = 2.3 + 2.4
-1x = 2.3 + 2.4

Combine like terms: 2.3 + 2.4 = 4.7
-1x = 4.7

Divide each side by '-1'.
x = -4.7

Simplifying
x = -4.7

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