3x-3+2x-2=4x-10+3x-9

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Solution for 3x-3+2x-2=4x-10+3x-9 equation:


Simplifying
3x + -3 + 2x + -2 = 4x + -10 + 3x + -9

Reorder the terms:
-3 + -2 + 3x + 2x = 4x + -10 + 3x + -9

Combine like terms: -3 + -2 = -5
-5 + 3x + 2x = 4x + -10 + 3x + -9

Combine like terms: 3x + 2x = 5x
-5 + 5x = 4x + -10 + 3x + -9

Reorder the terms:
-5 + 5x = -10 + -9 + 4x + 3x

Combine like terms: -10 + -9 = -19
-5 + 5x = -19 + 4x + 3x

Combine like terms: 4x + 3x = 7x
-5 + 5x = -19 + 7x

Solving
-5 + 5x = -19 + 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.
-5 + 5x + -7x = -19 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-5 + -2x = -19 + 7x + -7x

Combine like terms: 7x + -7x = 0
-5 + -2x = -19 + 0
-5 + -2x = -19

Add '5' to each side of the equation.
-5 + 5 + -2x = -19 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = -19 + 5
-2x = -19 + 5

Combine like terms: -19 + 5 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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