0.2(3x-4)=0.2(3-4x)+0.7

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Solution for 0.2(3x-4)=0.2(3-4x)+0.7 equation: 


Simplifying
0.2(3x + -4) = 0.2(3 + -4x) + 0.7

Reorder the terms:
0.2(-4 + 3x) = 0.2(3 + -4x) + 0.7
(-4 * 0.2 + 3x * 0.2) = 0.2(3 + -4x) + 0.7
(-0.8 + 0.6x) = 0.2(3 + -4x) + 0.7
-0.8 + 0.6x = (3 * 0.2 + -4x * 0.2) + 0.7
-0.8 + 0.6x = (0.6 + -0.8x) + 0.7

Reorder the terms:
-0.8 + 0.6x = 0.6 + 0.7 + -0.8x

Combine like terms: 0.6 + 0.7 = 1.3
-0.8 + 0.6x = 1.3 + -0.8x

Solving
-0.8 + 0.6x = 1.3 + -0.8x

Solving for variable 'x'.

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

Add '0.8x' to each side of the equation.
-0.8 + 0.6x + 0.8x = 1.3 + -0.8x + 0.8x

Combine like terms: 0.6x + 0.8x = 1.4x
-0.8 + 1.4x = 1.3 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-0.8 + 1.4x = 1.3 + 0.0
-0.8 + 1.4x = 1.3

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 1.4x = 1.3 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 1.4x = 1.3 + 0.8
1.4x = 1.3 + 0.8

Combine like terms: 1.3 + 0.8 = 2.1
1.4x = 2.1

Divide each side by '1.4'.
x = 1.5

Simplifying
x = 1.5

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