3(x-4)+2x=7x+2(-2x-1)

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Solution for 3(x-4)+2x=7x+2(-2x-1) equation:


Simplifying
3(x + -4) + 2x = 7x + 2(-2x + -1)

Reorder the terms:
3(-4 + x) + 2x = 7x + 2(-2x + -1)
(-4 * 3 + x * 3) + 2x = 7x + 2(-2x + -1)
(-12 + 3x) + 2x = 7x + 2(-2x + -1)

Combine like terms: 3x + 2x = 5x
-12 + 5x = 7x + 2(-2x + -1)

Reorder the terms:
-12 + 5x = 7x + 2(-1 + -2x)
-12 + 5x = 7x + (-1 * 2 + -2x * 2)
-12 + 5x = 7x + (-2 + -4x)

Reorder the terms:
-12 + 5x = -2 + 7x + -4x

Combine like terms: 7x + -4x = 3x
-12 + 5x = -2 + 3x

Solving
-12 + 5x = -2 + 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 + 5x + -3x = -2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-12 + 2x = -2 + 0
-12 + 2x = -2

Add '12' to each side of the equation.
-12 + 12 + 2x = -2 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = -2 + 12
2x = -2 + 12

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

Divide each side by '2'.
x = 5

Simplifying
x = 5

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