-2x+3=7x-15

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Solution for -2x+3=7x-15 equation:


Simplifying
-2x + 3 = 7x + -15

Reorder the terms:
3 + -2x = 7x + -15

Reorder the terms:
3 + -2x = -15 + 7x

Solving
3 + -2x = -15 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3 + -2x + -7x = -15 + 7x + -7x

Combine like terms: -2x + -7x = -9x
3 + -9x = -15 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -9x = -15 + 0
3 + -9x = -15

Add '-3' to each side of the equation.
3 + -3 + -9x = -15 + -3

Combine like terms: 3 + -3 = 0
0 + -9x = -15 + -3
-9x = -15 + -3

Combine like terms: -15 + -3 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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