7(x+1.3)=4(x-1.6)

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Solution for 7(x+1.3)=4(x-1.6) equation: 


Simplifying
7(x + 1.3) = 4(x + -1.6)

Reorder the terms:
7(1.3 + x) = 4(x + -1.6)
(1.3 * 7 + x * 7) = 4(x + -1.6)
(9.1 + 7x) = 4(x + -1.6)

Reorder the terms:
9.1 + 7x = 4(-1.6 + x)
9.1 + 7x = (-1.6 * 4 + x * 4)
9.1 + 7x = (-6.4 + 4x)

Solving
9.1 + 7x = -6.4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9.1 + 7x + -4x = -6.4 + 4x + -4x

Combine like terms: 7x + -4x = 3x
9.1 + 3x = -6.4 + 4x + -4x

Combine like terms: 4x + -4x = 0
9.1 + 3x = -6.4 + 0
9.1 + 3x = -6.4

Add '-9.1' to each side of the equation.
9.1 + -9.1 + 3x = -6.4 + -9.1

Combine like terms: 9.1 + -9.1 = 0.0
0.0 + 3x = -6.4 + -9.1
3x = -6.4 + -9.1

Combine like terms: -6.4 + -9.1 = -15.5
3x = -15.5

Divide each side by '3'.
x = -5.166666667

Simplifying
x = -5.166666667

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