5x-2(x-3)=4x+15

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Solution for 5x-2(x-3)=4x+15 equation:


Simplifying
5x + -2(x + -3) = 4x + 15

Reorder the terms:
5x + -2(-3 + x) = 4x + 15
5x + (-3 * -2 + x * -2) = 4x + 15
5x + (6 + -2x) = 4x + 15

Reorder the terms:
6 + 5x + -2x = 4x + 15

Combine like terms: 5x + -2x = 3x
6 + 3x = 4x + 15

Reorder the terms:
6 + 3x = 15 + 4x

Solving
6 + 3x = 15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 3x + -4x = 15 + 4x + -4x

Combine like terms: 3x + -4x = -1x
6 + -1x = 15 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -1x = 15 + 0
6 + -1x = 15

Add '-6' to each side of the equation.
6 + -6 + -1x = 15 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 15 + -6
-1x = 15 + -6

Combine like terms: 15 + -6 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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