(4x+7)*2=(x+18)*6-5

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Solution for (4x+7)*2=(x+18)*6-5 equation:


Simplifying
(4x + 7) * 2 = (x + 18) * 6 + -5

Reorder the terms:
(7 + 4x) * 2 = (x + 18) * 6 + -5

Reorder the terms for easier multiplication:
2(7 + 4x) = (x + 18) * 6 + -5
(7 * 2 + 4x * 2) = (x + 18) * 6 + -5
(14 + 8x) = (x + 18) * 6 + -5

Reorder the terms:
14 + 8x = (18 + x) * 6 + -5

Reorder the terms for easier multiplication:
14 + 8x = 6(18 + x) + -5
14 + 8x = (18 * 6 + x * 6) + -5
14 + 8x = (108 + 6x) + -5

Reorder the terms:
14 + 8x = 108 + -5 + 6x

Combine like terms: 108 + -5 = 103
14 + 8x = 103 + 6x

Solving
14 + 8x = 103 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
14 + 8x + -6x = 103 + 6x + -6x

Combine like terms: 8x + -6x = 2x
14 + 2x = 103 + 6x + -6x

Combine like terms: 6x + -6x = 0
14 + 2x = 103 + 0
14 + 2x = 103

Add '-14' to each side of the equation.
14 + -14 + 2x = 103 + -14

Combine like terms: 14 + -14 = 0
0 + 2x = 103 + -14
2x = 103 + -14

Combine like terms: 103 + -14 = 89
2x = 89

Divide each side by '2'.
x = 44.5

Simplifying
x = 44.5

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