3(5x+7)=8(1+2x)

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Solution for 3(5x+7)=8(1+2x) equation:


Simplifying
3(5x + 7) = 8(1 + 2x)

Reorder the terms:
3(7 + 5x) = 8(1 + 2x)
(7 * 3 + 5x * 3) = 8(1 + 2x)
(21 + 15x) = 8(1 + 2x)
21 + 15x = (1 * 8 + 2x * 8)
21 + 15x = (8 + 16x)

Solving
21 + 15x = 8 + 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 + 15x + -16x = 8 + 16x + -16x

Combine like terms: 15x + -16x = -1x
21 + -1x = 8 + 16x + -16x

Combine like terms: 16x + -16x = 0
21 + -1x = 8 + 0
21 + -1x = 8

Add '-21' to each side of the equation.
21 + -21 + -1x = 8 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 8 + -21
-1x = 8 + -21

Combine like terms: 8 + -21 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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