2(x-3)+7=5x-9

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Solution for 2(x-3)+7=5x-9 equation:


Simplifying
2(x + -3) + 7 = 5x + -9

Reorder the terms:
2(-3 + x) + 7 = 5x + -9
(-3 * 2 + x * 2) + 7 = 5x + -9
(-6 + 2x) + 7 = 5x + -9

Reorder the terms:
-6 + 7 + 2x = 5x + -9

Combine like terms: -6 + 7 = 1
1 + 2x = 5x + -9

Reorder the terms:
1 + 2x = -9 + 5x

Solving
1 + 2x = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1 + 2x + -5x = -9 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
1 + -3x = -9 + 0
1 + -3x = -9

Add '-1' to each side of the equation.
1 + -1 + -3x = -9 + -1

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

Combine like terms: -9 + -1 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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