3(x-4)+2(x+7)=8*x-4

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Solution for 3(x-4)+2(x+7)=8*x-4 equation: 


Simplifying
3(x + -4) + 2(x + 7) = 8x + -4

Reorder the terms:
3(-4 + x) + 2(x + 7) = 8x + -4
(-4 * 3 + x * 3) + 2(x + 7) = 8x + -4
(-12 + 3x) + 2(x + 7) = 8x + -4

Reorder the terms:
-12 + 3x + 2(7 + x) = 8x + -4
-12 + 3x + (7 * 2 + x * 2) = 8x + -4
-12 + 3x + (14 + 2x) = 8x + -4

Reorder the terms:
-12 + 14 + 3x + 2x = 8x + -4

Combine like terms: -12 + 14 = 2
2 + 3x + 2x = 8x + -4

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

Reorder the terms:
2 + 5x = -4 + 8x

Solving
2 + 5x = -4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
2 + 5x + -8x = -4 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
2 + -3x = -4 + 0
2 + -3x = -4

Add '-2' to each side of the equation.
2 + -2 + -3x = -4 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -4 + -2
-3x = -4 + -2

Combine like terms: -4 + -2 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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