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

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


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

Reorder the terms:
2x + 4(-3 + x) = 3x + -15
2x + (-3 * 4 + x * 4) = 3x + -15
2x + (-12 + 4x) = 3x + -15

Reorder the terms:
-12 + 2x + 4x = 3x + -15

Combine like terms: 2x + 4x = 6x
-12 + 6x = 3x + -15

Reorder the terms:
-12 + 6x = -15 + 3x

Solving
-12 + 6x = -15 + 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.
-12 + 6x + -3x = -15 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-12 + 3x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 3x = -15 + 0
-12 + 3x = -15

Add '12' to each side of the equation.
-12 + 12 + 3x = -15 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = -15 + 12
3x = -15 + 12

Combine like terms: -15 + 12 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1

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