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

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


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

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

Combine like terms: 2x + 5x = 7x
-6 + 7x = 4x + -15

Reorder the terms:
-6 + 7x = -15 + 4x

Solving
-6 + 7x = -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 + 7x + -4x = -15 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-6 + 3x = -15 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 3x = -15 + 0
-6 + 3x = -15

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

Combine like terms: -6 + 6 = 0
0 + 3x = -15 + 6
3x = -15 + 6

Combine like terms: -15 + 6 = -9
3x = -9

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

Simplifying
x = -3

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