7(4x+3)=6(x+5)-15

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Solution for 7(4x+3)=6(x+5)-15 equation: 


Simplifying
7(4x + 3) = 6(x + 5) + -15

Reorder the terms:
7(3 + 4x) = 6(x + 5) + -15
(3 * 7 + 4x * 7) = 6(x + 5) + -15
(21 + 28x) = 6(x + 5) + -15

Reorder the terms:
21 + 28x = 6(5 + x) + -15
21 + 28x = (5 * 6 + x * 6) + -15
21 + 28x = (30 + 6x) + -15

Reorder the terms:
21 + 28x = 30 + -15 + 6x

Combine like terms: 30 + -15 = 15
21 + 28x = 15 + 6x

Solving
21 + 28x = 15 + 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.
21 + 28x + -6x = 15 + 6x + -6x

Combine like terms: 28x + -6x = 22x
21 + 22x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
21 + 22x = 15 + 0
21 + 22x = 15

Add '-21' to each side of the equation.
21 + -21 + 22x = 15 + -21

Combine like terms: 21 + -21 = 0
0 + 22x = 15 + -21
22x = 15 + -21

Combine like terms: 15 + -21 = -6
22x = -6

Divide each side by '22'.
x = -0.2727272727

Simplifying
x = -0.2727272727

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