x+1=7.5x-5

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Solution for x+1=7.5x-5 equation:


Simplifying
x + 1 = 7.5x + -5

Reorder the terms:
1 + x = 7.5x + -5

Reorder the terms:
1 + x = -5 + 7.5x

Solving
1 + x = -5 + 7.5x

Solving for variable 'x'.

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

Add '-7.5x' to each side of the equation.
1 + x + -7.5x = -5 + 7.5x + -7.5x

Combine like terms: x + -7.5x = -6.5x
1 + -6.5x = -5 + 7.5x + -7.5x

Combine like terms: 7.5x + -7.5x = 0.0
1 + -6.5x = -5 + 0.0
1 + -6.5x = -5

Add '-1' to each side of the equation.
1 + -1 + -6.5x = -5 + -1

Combine like terms: 1 + -1 = 0
0 + -6.5x = -5 + -1
-6.5x = -5 + -1

Combine like terms: -5 + -1 = -6
-6.5x = -6

Divide each side by '-6.5'.
x = 0.9230769231

Simplifying
x = 0.9230769231

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