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

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


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

Reorder the terms:
-3(2 + x) + 4(3x + -8) = 2(4x + 7)
(2 * -3 + x * -3) + 4(3x + -8) = 2(4x + 7)
(-6 + -3x) + 4(3x + -8) = 2(4x + 7)

Reorder the terms:
-6 + -3x + 4(-8 + 3x) = 2(4x + 7)
-6 + -3x + (-8 * 4 + 3x * 4) = 2(4x + 7)
-6 + -3x + (-32 + 12x) = 2(4x + 7)

Reorder the terms:
-6 + -32 + -3x + 12x = 2(4x + 7)

Combine like terms: -6 + -32 = -38
-38 + -3x + 12x = 2(4x + 7)

Combine like terms: -3x + 12x = 9x
-38 + 9x = 2(4x + 7)

Reorder the terms:
-38 + 9x = 2(7 + 4x)
-38 + 9x = (7 * 2 + 4x * 2)
-38 + 9x = (14 + 8x)

Solving
-38 + 9x = 14 + 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.
-38 + 9x + -8x = 14 + 8x + -8x

Combine like terms: 9x + -8x = 1x
-38 + 1x = 14 + 8x + -8x

Combine like terms: 8x + -8x = 0
-38 + 1x = 14 + 0
-38 + 1x = 14

Add '38' to each side of the equation.
-38 + 38 + 1x = 14 + 38

Combine like terms: -38 + 38 = 0
0 + 1x = 14 + 38
1x = 14 + 38

Combine like terms: 14 + 38 = 52
1x = 52

Divide each side by '1'.
x = 52

Simplifying
x = 52

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