7(x+8)+2(6x-7)=18(x+3)-5

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Solution for 7(x+8)+2(6x-7)=18(x+3)-5 equation:


Simplifying
7(x + 8) + 2(6x + -7) = 18(x + 3) + -5

Reorder the terms:
7(8 + x) + 2(6x + -7) = 18(x + 3) + -5
(8 * 7 + x * 7) + 2(6x + -7) = 18(x + 3) + -5
(56 + 7x) + 2(6x + -7) = 18(x + 3) + -5

Reorder the terms:
56 + 7x + 2(-7 + 6x) = 18(x + 3) + -5
56 + 7x + (-7 * 2 + 6x * 2) = 18(x + 3) + -5
56 + 7x + (-14 + 12x) = 18(x + 3) + -5

Reorder the terms:
56 + -14 + 7x + 12x = 18(x + 3) + -5

Combine like terms: 56 + -14 = 42
42 + 7x + 12x = 18(x + 3) + -5

Combine like terms: 7x + 12x = 19x
42 + 19x = 18(x + 3) + -5

Reorder the terms:
42 + 19x = 18(3 + x) + -5
42 + 19x = (3 * 18 + x * 18) + -5
42 + 19x = (54 + 18x) + -5

Reorder the terms:
42 + 19x = 54 + -5 + 18x

Combine like terms: 54 + -5 = 49
42 + 19x = 49 + 18x

Solving
42 + 19x = 49 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
42 + 19x + -18x = 49 + 18x + -18x

Combine like terms: 19x + -18x = 1x
42 + 1x = 49 + 18x + -18x

Combine like terms: 18x + -18x = 0
42 + 1x = 49 + 0
42 + 1x = 49

Add '-42' to each side of the equation.
42 + -42 + 1x = 49 + -42

Combine like terms: 42 + -42 = 0
0 + 1x = 49 + -42
1x = 49 + -42

Combine like terms: 49 + -42 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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