8(x+6)+7(3x+2)=4

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


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

Reorder the terms:
8(6 + x) + 7(3x + 2) = 4
(6 * 8 + x * 8) + 7(3x + 2) = 4
(48 + 8x) + 7(3x + 2) = 4

Reorder the terms:
48 + 8x + 7(2 + 3x) = 4
48 + 8x + (2 * 7 + 3x * 7) = 4
48 + 8x + (14 + 21x) = 4

Reorder the terms:
48 + 14 + 8x + 21x = 4

Combine like terms: 48 + 14 = 62
62 + 8x + 21x = 4

Combine like terms: 8x + 21x = 29x
62 + 29x = 4

Solving
62 + 29x = 4

Solving for variable 'x'.

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

Add '-62' to each side of the equation.
62 + -62 + 29x = 4 + -62

Combine like terms: 62 + -62 = 0
0 + 29x = 4 + -62
29x = 4 + -62

Combine like terms: 4 + -62 = -58
29x = -58

Divide each side by '29'.
x = -2

Simplifying
x = -2

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