2x-3+5x-1=7x+2x-10

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Solution for 2x-3+5x-1=7x+2x-10 equation:


Simplifying
2x + -3 + 5x + -1 = 7x + 2x + -10

Reorder the terms:
-3 + -1 + 2x + 5x = 7x + 2x + -10

Combine like terms: -3 + -1 = -4
-4 + 2x + 5x = 7x + 2x + -10

Combine like terms: 2x + 5x = 7x
-4 + 7x = 7x + 2x + -10

Reorder the terms:
-4 + 7x = -10 + 7x + 2x

Combine like terms: 7x + 2x = 9x
-4 + 7x = -10 + 9x

Solving
-4 + 7x = -10 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-4 + 7x + -9x = -10 + 9x + -9x

Combine like terms: 7x + -9x = -2x
-4 + -2x = -10 + 9x + -9x

Combine like terms: 9x + -9x = 0
-4 + -2x = -10 + 0
-4 + -2x = -10

Add '4' to each side of the equation.
-4 + 4 + -2x = -10 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = -10 + 4
-2x = -10 + 4

Combine like terms: -10 + 4 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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