1.7(x-1)=1.4(x+5)

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Solution for 1.7(x-1)=1.4(x+5) equation: 


Simplifying
1.7(x + -1) = 1.4(x + 5)

Reorder the terms:
1.7(-1 + x) = 1.4(x + 5)
(-1 * 1.7 + x * 1.7) = 1.4(x + 5)
(-1.7 + 1.7x) = 1.4(x + 5)

Reorder the terms:
-1.7 + 1.7x = 1.4(5 + x)
-1.7 + 1.7x = (5 * 1.4 + x * 1.4)
-1.7 + 1.7x = (7 + 1.4x)

Solving
-1.7 + 1.7x = 7 + 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 + 1.7x + -1.4x = 7 + 1.4x + -1.4x

Combine like terms: 1.7x + -1.4x = 0.3x
-1.7 + 0.3x = 7 + 1.4x + -1.4x

Combine like terms: 1.4x + -1.4x = 0.0
-1.7 + 0.3x = 7 + 0.0
-1.7 + 0.3x = 7

Add '1.7' to each side of the equation.
-1.7 + 1.7 + 0.3x = 7 + 1.7

Combine like terms: -1.7 + 1.7 = 0.0
0.0 + 0.3x = 7 + 1.7
0.3x = 7 + 1.7

Combine like terms: 7 + 1.7 = 8.7
0.3x = 8.7

Divide each side by '0.3'.
x = 29

Simplifying
x = 29

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