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

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


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

Reorder the terms:
6(7 + x) = 2(4 + x) + -3(-2x + -5)
(7 * 6 + x * 6) = 2(4 + x) + -3(-2x + -5)
(42 + 6x) = 2(4 + x) + -3(-2x + -5)
42 + 6x = (4 * 2 + x * 2) + -3(-2x + -5)
42 + 6x = (8 + 2x) + -3(-2x + -5)

Reorder the terms:
42 + 6x = 8 + 2x + -3(-5 + -2x)
42 + 6x = 8 + 2x + (-5 * -3 + -2x * -3)
42 + 6x = 8 + 2x + (15 + 6x)

Reorder the terms:
42 + 6x = 8 + 15 + 2x + 6x

Combine like terms: 8 + 15 = 23
42 + 6x = 23 + 2x + 6x

Combine like terms: 2x + 6x = 8x
42 + 6x = 23 + 8x

Solving
42 + 6x = 23 + 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.
42 + 6x + -8x = 23 + 8x + -8x

Combine like terms: 6x + -8x = -2x
42 + -2x = 23 + 8x + -8x

Combine like terms: 8x + -8x = 0
42 + -2x = 23 + 0
42 + -2x = 23

Add '-42' to each side of the equation.
42 + -42 + -2x = 23 + -42

Combine like terms: 42 + -42 = 0
0 + -2x = 23 + -42
-2x = 23 + -42

Combine like terms: 23 + -42 = -19
-2x = -19

Divide each side by '-2'.
x = 9.5

Simplifying
x = 9.5

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