6-(2x-3)=-5x+18

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Solution for 6-(2x-3)=-5x+18 equation:


Simplifying
6 + -1(2x + -3) = -5x + 18

Reorder the terms:
6 + -1(-3 + 2x) = -5x + 18
6 + (-3 * -1 + 2x * -1) = -5x + 18
6 + (3 + -2x) = -5x + 18

Combine like terms: 6 + 3 = 9
9 + -2x = -5x + 18

Reorder the terms:
9 + -2x = 18 + -5x

Solving
9 + -2x = 18 + -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.
9 + -2x + 5x = 18 + -5x + 5x

Combine like terms: -2x + 5x = 3x
9 + 3x = 18 + -5x + 5x

Combine like terms: -5x + 5x = 0
9 + 3x = 18 + 0
9 + 3x = 18

Add '-9' to each side of the equation.
9 + -9 + 3x = 18 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = 18 + -9
3x = 18 + -9

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

Divide each side by '3'.
x = 3

Simplifying
x = 3

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