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

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


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

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

Combine like terms: 2 + -12 = -10
-10 + -3x = 2x + 15

Reorder the terms:
-10 + -3x = 15 + 2x

Solving
-10 + -3x = 15 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-10 + -3x + -2x = 15 + 2x + -2x

Combine like terms: -3x + -2x = -5x
-10 + -5x = 15 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + -5x = 15 + 0
-10 + -5x = 15

Add '10' to each side of the equation.
-10 + 10 + -5x = 15 + 10

Combine like terms: -10 + 10 = 0
0 + -5x = 15 + 10
-5x = 15 + 10

Combine like terms: 15 + 10 = 25
-5x = 25

Divide each side by '-5'.
x = -5

Simplifying
x = -5

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