0.5(1.2x-3.4)=1.4x+5.8

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Solution for 0.5(1.2x-3.4)=1.4x+5.8 equation: 


Simplifying
0.5(1.2x + -3.4) = 1.4x + 5.8

Reorder the terms:
0.5(-3.4 + 1.2x) = 1.4x + 5.8
(-3.4 * 0.5 + 1.2x * 0.5) = 1.4x + 5.8
(-1.7 + 0.6x) = 1.4x + 5.8

Reorder the terms:
-1.7 + 0.6x = 5.8 + 1.4x

Solving
-1.7 + 0.6x = 5.8 + 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.
-1.7 + 0.6x + -1.4x = 5.8 + 1.4x + -1.4x

Combine like terms: 0.6x + -1.4x = -0.8x
-1.7 + -0.8x = 5.8 + 1.4x + -1.4x

Combine like terms: 1.4x + -1.4x = 0.0
-1.7 + -0.8x = 5.8 + 0.0
-1.7 + -0.8x = 5.8

Add '1.7' to each side of the equation.
-1.7 + 1.7 + -0.8x = 5.8 + 1.7

Combine like terms: -1.7 + 1.7 = 0.0
0.0 + -0.8x = 5.8 + 1.7
-0.8x = 5.8 + 1.7

Combine like terms: 5.8 + 1.7 = 7.5
-0.8x = 7.5

Divide each side by '-0.8'.
x = -9.375

Simplifying
x = -9.375

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