8(3x+1)-4(5x-6)=2(x+7)

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Solution for 8(3x+1)-4(5x-6)=2(x+7) equation:


Simplifying
8(3x + 1) + -4(5x + -6) = 2(x + 7)

Reorder the terms:
8(1 + 3x) + -4(5x + -6) = 2(x + 7)
(1 * 8 + 3x * 8) + -4(5x + -6) = 2(x + 7)
(8 + 24x) + -4(5x + -6) = 2(x + 7)

Reorder the terms:
8 + 24x + -4(-6 + 5x) = 2(x + 7)
8 + 24x + (-6 * -4 + 5x * -4) = 2(x + 7)
8 + 24x + (24 + -20x) = 2(x + 7)

Reorder the terms:
8 + 24 + 24x + -20x = 2(x + 7)

Combine like terms: 8 + 24 = 32
32 + 24x + -20x = 2(x + 7)

Combine like terms: 24x + -20x = 4x
32 + 4x = 2(x + 7)

Reorder the terms:
32 + 4x = 2(7 + x)
32 + 4x = (7 * 2 + x * 2)
32 + 4x = (14 + 2x)

Solving
32 + 4x = 14 + 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.
32 + 4x + -2x = 14 + 2x + -2x

Combine like terms: 4x + -2x = 2x
32 + 2x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
32 + 2x = 14 + 0
32 + 2x = 14

Add '-32' to each side of the equation.
32 + -32 + 2x = 14 + -32

Combine like terms: 32 + -32 = 0
0 + 2x = 14 + -32
2x = 14 + -32

Combine like terms: 14 + -32 = -18
2x = -18

Divide each side by '2'.
x = -9

Simplifying
x = -9

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