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

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


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

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

Reorder the terms:
21 + 28x = 6(4 + 5x)
21 + 28x = (4 * 6 + 5x * 6)
21 + 28x = (24 + 30x)

Solving
21 + 28x = 24 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
21 + 28x + -30x = 24 + 30x + -30x

Combine like terms: 28x + -30x = -2x
21 + -2x = 24 + 30x + -30x

Combine like terms: 30x + -30x = 0
21 + -2x = 24 + 0
21 + -2x = 24

Add '-21' to each side of the equation.
21 + -21 + -2x = 24 + -21

Combine like terms: 21 + -21 = 0
0 + -2x = 24 + -21
-2x = 24 + -21

Combine like terms: 24 + -21 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

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