5.3(x+1)+2.3(x+1)=7

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Solution for 5.3(x+1)+2.3(x+1)=7 equation:


Simplifying
5.3(x + 1) + 2.3(x + 1) = 7

Reorder the terms:
5.3(1 + x) + 2.3(x + 1) = 7
(1 * 5.3 + x * 5.3) + 2.3(x + 1) = 7
(5.3 + 5.3x) + 2.3(x + 1) = 7

Reorder the terms:
5.3 + 5.3x + 2.3(1 + x) = 7
5.3 + 5.3x + (1 * 2.3 + x * 2.3) = 7
5.3 + 5.3x + (2.3 + 2.3x) = 7

Reorder the terms:
5.3 + 2.3 + 5.3x + 2.3x = 7

Combine like terms: 5.3 + 2.3 = 7.6
7.6 + 5.3x + 2.3x = 7

Combine like terms: 5.3x + 2.3x = 7.6x
7.6 + 7.6x = 7

Solving
7.6 + 7.6x = 7

Solving for variable 'x'.

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

Add '-7.6' to each side of the equation.
7.6 + -7.6 + 7.6x = 7 + -7.6

Combine like terms: 7.6 + -7.6 = 0.0
0.0 + 7.6x = 7 + -7.6
7.6x = 7 + -7.6

Combine like terms: 7 + -7.6 = -0.6
7.6x = -0.6

Divide each side by '7.6'.
x = -0.07894736842

Simplifying
x = -0.07894736842

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