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

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


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

Reorder the terms:
3(-4 + x) = 2(x + 3) + 5x
(-4 * 3 + x * 3) = 2(x + 3) + 5x
(-12 + 3x) = 2(x + 3) + 5x

Reorder the terms:
-12 + 3x = 2(3 + x) + 5x
-12 + 3x = (3 * 2 + x * 2) + 5x
-12 + 3x = (6 + 2x) + 5x

Combine like terms: 2x + 5x = 7x
-12 + 3x = 6 + 7x

Solving
-12 + 3x = 6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-12 + 3x + -7x = 6 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-12 + -4x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-12 + -4x = 6 + 0
-12 + -4x = 6

Add '12' to each side of the equation.
-12 + 12 + -4x = 6 + 12

Combine like terms: -12 + 12 = 0
0 + -4x = 6 + 12
-4x = 6 + 12

Combine like terms: 6 + 12 = 18
-4x = 18

Divide each side by '-4'.
x = -4.5

Simplifying
x = -4.5

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