1-5.2x+6.7x=6.7-0.4x

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Solution for 1-5.2x+6.7x=6.7-0.4x equation: 


Simplifying
1 + -5.2x + 6.7x = 6.7 + -0.4x

Combine like terms: -5.2x + 6.7x = 1.5x
1 + 1.5x = 6.7 + -0.4x

Solving
1 + 1.5x = 6.7 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
1 + 1.5x + 0.4x = 6.7 + -0.4x + 0.4x

Combine like terms: 1.5x + 0.4x = 1.9x
1 + 1.9x = 6.7 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
1 + 1.9x = 6.7 + 0.0
1 + 1.9x = 6.7

Add '-1' to each side of the equation.
1 + -1 + 1.9x = 6.7 + -1

Combine like terms: 1 + -1 = 0
0 + 1.9x = 6.7 + -1
1.9x = 6.7 + -1

Combine like terms: 6.7 + -1 = 5.7
1.9x = 5.7

Divide each side by '1.9'.
x = 3

Simplifying
x = 3

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