.4(x+2)=1.4(x+1.5)

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Solution for .4(x+2)=1.4(x+1.5) equation: 


Simplifying
0.4(x + 2) = 1.4(x + 1.5)

Reorder the terms:
0.4(2 + x) = 1.4(x + 1.5)
(2 * 0.4 + x * 0.4) = 1.4(x + 1.5)
(0.8 + 0.4x) = 1.4(x + 1.5)

Reorder the terms:
0.8 + 0.4x = 1.4(1.5 + x)
0.8 + 0.4x = (1.5 * 1.4 + x * 1.4)
0.8 + 0.4x = (2.1 + 1.4x)

Solving
0.8 + 0.4x = 2.1 + 1.4x

Solving for variable 'x'.

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

Add '-1.4x' to each side of the equation.
0.8 + 0.4x + -1.4x = 2.1 + 1.4x + -1.4x

Combine like terms: 0.4x + -1.4x = -1x
0.8 + -1x = 2.1 + 1.4x + -1.4x

Combine like terms: 1.4x + -1.4x = 0.0
0.8 + -1x = 2.1 + 0.0
0.8 + -1x = 2.1

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -1x = 2.1 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -1x = 2.1 + -0.8
-1x = 2.1 + -0.8

Combine like terms: 2.1 + -0.8 = 1.3
-1x = 1.3

Divide each side by '-1'.
x = -1.3

Simplifying
x = -1.3

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