7(4x+3)=4(x+2)+15

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Solution for 7(4x+3)=4(x+2)+15 equation: 


Simplifying
7(4x + 3) = 4(x + 2) + 15

Reorder the terms:
7(3 + 4x) = 4(x + 2) + 15
(3 * 7 + 4x * 7) = 4(x + 2) + 15
(21 + 28x) = 4(x + 2) + 15

Reorder the terms:
21 + 28x = 4(2 + x) + 15
21 + 28x = (2 * 4 + x * 4) + 15
21 + 28x = (8 + 4x) + 15

Reorder the terms:
21 + 28x = 8 + 15 + 4x

Combine like terms: 8 + 15 = 23
21 + 28x = 23 + 4x

Solving
21 + 28x = 23 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
21 + 28x + -4x = 23 + 4x + -4x

Combine like terms: 28x + -4x = 24x
21 + 24x = 23 + 4x + -4x

Combine like terms: 4x + -4x = 0
21 + 24x = 23 + 0
21 + 24x = 23

Add '-21' to each side of the equation.
21 + -21 + 24x = 23 + -21

Combine like terms: 21 + -21 = 0
0 + 24x = 23 + -21
24x = 23 + -21

Combine like terms: 23 + -21 = 2
24x = 2

Divide each side by '24'.
x = 0.08333333333

Simplifying
x = 0.08333333333

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