7(3x+4)=8(2x+5)+13

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Solution for 7(3x+4)=8(2x+5)+13 equation:


Simplifying
7(3x + 4) = 8(2x + 5) + 13

Reorder the terms:
7(4 + 3x) = 8(2x + 5) + 13
(4 * 7 + 3x * 7) = 8(2x + 5) + 13
(28 + 21x) = 8(2x + 5) + 13

Reorder the terms:
28 + 21x = 8(5 + 2x) + 13
28 + 21x = (5 * 8 + 2x * 8) + 13
28 + 21x = (40 + 16x) + 13

Reorder the terms:
28 + 21x = 40 + 13 + 16x

Combine like terms: 40 + 13 = 53
28 + 21x = 53 + 16x

Solving
28 + 21x = 53 + 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.
28 + 21x + -16x = 53 + 16x + -16x

Combine like terms: 21x + -16x = 5x
28 + 5x = 53 + 16x + -16x

Combine like terms: 16x + -16x = 0
28 + 5x = 53 + 0
28 + 5x = 53

Add '-28' to each side of the equation.
28 + -28 + 5x = 53 + -28

Combine like terms: 28 + -28 = 0
0 + 5x = 53 + -28
5x = 53 + -28

Combine like terms: 53 + -28 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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