2(x-2)+5=3x-9

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Solution for 2(x-2)+5=3x-9 equation:


Simplifying
2(x + -2) + 5 = 3x + -9

Reorder the terms:
2(-2 + x) + 5 = 3x + -9
(-2 * 2 + x * 2) + 5 = 3x + -9
(-4 + 2x) + 5 = 3x + -9

Reorder the terms:
-4 + 5 + 2x = 3x + -9

Combine like terms: -4 + 5 = 1
1 + 2x = 3x + -9

Reorder the terms:
1 + 2x = -9 + 3x

Solving
1 + 2x = -9 + 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.
1 + 2x + -3x = -9 + 3x + -3x

Combine like terms: 2x + -3x = -1x
1 + -1x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + -1x = -9 + 0
1 + -1x = -9

Add '-1' to each side of the equation.
1 + -1 + -1x = -9 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = -9 + -1
-1x = -9 + -1

Combine like terms: -9 + -1 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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