7(1-x)=8(1+2x)+5

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Solution for 7(1-x)=8(1+2x)+5 equation:


Simplifying
7(1 + -1x) = 8(1 + 2x) + 5
(1 * 7 + -1x * 7) = 8(1 + 2x) + 5
(7 + -7x) = 8(1 + 2x) + 5
7 + -7x = (1 * 8 + 2x * 8) + 5
7 + -7x = (8 + 16x) + 5

Reorder the terms:
7 + -7x = 8 + 5 + 16x

Combine like terms: 8 + 5 = 13
7 + -7x = 13 + 16x

Solving
7 + -7x = 13 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
7 + -7x + -16x = 13 + 16x + -16x

Combine like terms: -7x + -16x = -23x
7 + -23x = 13 + 16x + -16x

Combine like terms: 16x + -16x = 0
7 + -23x = 13 + 0
7 + -23x = 13

Add '-7' to each side of the equation.
7 + -7 + -23x = 13 + -7

Combine like terms: 7 + -7 = 0
0 + -23x = 13 + -7
-23x = 13 + -7

Combine like terms: 13 + -7 = 6
-23x = 6

Divide each side by '-23'.
x = -0.2608695652

Simplifying
x = -0.2608695652

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