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

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


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

Reorder the terms:
6(7 + x) + 2(2x + 3) = 8
(7 * 6 + x * 6) + 2(2x + 3) = 8
(42 + 6x) + 2(2x + 3) = 8

Reorder the terms:
42 + 6x + 2(3 + 2x) = 8
42 + 6x + (3 * 2 + 2x * 2) = 8
42 + 6x + (6 + 4x) = 8

Reorder the terms:
42 + 6 + 6x + 4x = 8

Combine like terms: 42 + 6 = 48
48 + 6x + 4x = 8

Combine like terms: 6x + 4x = 10x
48 + 10x = 8

Solving
48 + 10x = 8

Solving for variable 'x'.

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

Add '-48' to each side of the equation.
48 + -48 + 10x = 8 + -48

Combine like terms: 48 + -48 = 0
0 + 10x = 8 + -48
10x = 8 + -48

Combine like terms: 8 + -48 = -40
10x = -40

Divide each side by '10'.
x = -4

Simplifying
x = -4

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