3(x-4)+2(x+5)=2x+25+4(x-8)

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Solution for 3(x-4)+2(x+5)=2x+25+4(x-8) equation:


Simplifying
3(x + -4) + 2(x + 5) = 2x + 25 + 4(x + -8)

Reorder the terms:
3(-4 + x) + 2(x + 5) = 2x + 25 + 4(x + -8)
(-4 * 3 + x * 3) + 2(x + 5) = 2x + 25 + 4(x + -8)
(-12 + 3x) + 2(x + 5) = 2x + 25 + 4(x + -8)

Reorder the terms:
-12 + 3x + 2(5 + x) = 2x + 25 + 4(x + -8)
-12 + 3x + (5 * 2 + x * 2) = 2x + 25 + 4(x + -8)
-12 + 3x + (10 + 2x) = 2x + 25 + 4(x + -8)

Reorder the terms:
-12 + 10 + 3x + 2x = 2x + 25 + 4(x + -8)

Combine like terms: -12 + 10 = -2
-2 + 3x + 2x = 2x + 25 + 4(x + -8)

Combine like terms: 3x + 2x = 5x
-2 + 5x = 2x + 25 + 4(x + -8)

Reorder the terms:
-2 + 5x = 2x + 25 + 4(-8 + x)
-2 + 5x = 2x + 25 + (-8 * 4 + x * 4)
-2 + 5x = 2x + 25 + (-32 + 4x)

Reorder the terms:
-2 + 5x = 25 + -32 + 2x + 4x

Combine like terms: 25 + -32 = -7
-2 + 5x = -7 + 2x + 4x

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

Solving
-2 + 5x = -7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + 5x + -6x = -7 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-2 + -1x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + -1x = -7 + 0
-2 + -1x = -7

Add '2' to each side of the equation.
-2 + 2 + -1x = -7 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -7 + 2
-1x = -7 + 2

Combine like terms: -7 + 2 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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