x+7=3x-9.5

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Solution for x+7=3x-9.5 equation:


Simplifying
x + 7 = 3x + -9.5

Reorder the terms:
7 + x = 3x + -9.5

Reorder the terms:
7 + x = -9.5 + 3x

Solving
7 + x = -9.5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
7 + x + -3x = -9.5 + 3x + -3x

Combine like terms: x + -3x = -2x
7 + -2x = -9.5 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -2x = -9.5 + 0
7 + -2x = -9.5

Add '-7' to each side of the equation.
7 + -7 + -2x = -9.5 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = -9.5 + -7
-2x = -9.5 + -7

Combine like terms: -9.5 + -7 = -16.5
-2x = -16.5

Divide each side by '-2'.
x = 8.25

Simplifying
x = 8.25

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