3(x-4)+2x+5=2(3x+2)-4(2x-6)

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Solution for 3(x-4)+2x+5=2(3x+2)-4(2x-6) equation:


Simplifying
3(x + -4) + 2x + 5 = 2(3x + 2) + -4(2x + -6)

Reorder the terms:
3(-4 + x) + 2x + 5 = 2(3x + 2) + -4(2x + -6)
(-4 * 3 + x * 3) + 2x + 5 = 2(3x + 2) + -4(2x + -6)
(-12 + 3x) + 2x + 5 = 2(3x + 2) + -4(2x + -6)

Reorder the terms:
-12 + 5 + 3x + 2x = 2(3x + 2) + -4(2x + -6)

Combine like terms: -12 + 5 = -7
-7 + 3x + 2x = 2(3x + 2) + -4(2x + -6)

Combine like terms: 3x + 2x = 5x
-7 + 5x = 2(3x + 2) + -4(2x + -6)

Reorder the terms:
-7 + 5x = 2(2 + 3x) + -4(2x + -6)
-7 + 5x = (2 * 2 + 3x * 2) + -4(2x + -6)
-7 + 5x = (4 + 6x) + -4(2x + -6)

Reorder the terms:
-7 + 5x = 4 + 6x + -4(-6 + 2x)
-7 + 5x = 4 + 6x + (-6 * -4 + 2x * -4)
-7 + 5x = 4 + 6x + (24 + -8x)

Reorder the terms:
-7 + 5x = 4 + 24 + 6x + -8x

Combine like terms: 4 + 24 = 28
-7 + 5x = 28 + 6x + -8x

Combine like terms: 6x + -8x = -2x
-7 + 5x = 28 + -2x

Solving
-7 + 5x = 28 + -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.
-7 + 5x + 2x = 28 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-7 + 7x = 28 + -2x + 2x

Combine like terms: -2x + 2x = 0
-7 + 7x = 28 + 0
-7 + 7x = 28

Add '7' to each side of the equation.
-7 + 7 + 7x = 28 + 7

Combine like terms: -7 + 7 = 0
0 + 7x = 28 + 7
7x = 28 + 7

Combine like terms: 28 + 7 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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