7(2x+3)=1+2(8x+7)

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Solution for 7(2x+3)=1+2(8x+7) equation: 


Simplifying
7(2x + 3) = 1 + 2(8x + 7)

Reorder the terms:
7(3 + 2x) = 1 + 2(8x + 7)
(3 * 7 + 2x * 7) = 1 + 2(8x + 7)
(21 + 14x) = 1 + 2(8x + 7)

Reorder the terms:
21 + 14x = 1 + 2(7 + 8x)
21 + 14x = 1 + (7 * 2 + 8x * 2)
21 + 14x = 1 + (14 + 16x)

Combine like terms: 1 + 14 = 15
21 + 14x = 15 + 16x

Solving
21 + 14x = 15 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
21 + 14x + -16x = 15 + 16x + -16x

Combine like terms: 14x + -16x = -2x
21 + -2x = 15 + 16x + -16x

Combine like terms: 16x + -16x = 0
21 + -2x = 15 + 0
21 + -2x = 15

Add '-21' to each side of the equation.
21 + -21 + -2x = 15 + -21

Combine like terms: 21 + -21 = 0
0 + -2x = 15 + -21
-2x = 15 + -21

Combine like terms: 15 + -21 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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