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

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


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

Reorder the terms:
4(5 + 3x) = 7(6x + 3)
(5 * 4 + 3x * 4) = 7(6x + 3)
(20 + 12x) = 7(6x + 3)

Reorder the terms:
20 + 12x = 7(3 + 6x)
20 + 12x = (3 * 7 + 6x * 7)
20 + 12x = (21 + 42x)

Solving
20 + 12x = 21 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
20 + 12x + -42x = 21 + 42x + -42x

Combine like terms: 12x + -42x = -30x
20 + -30x = 21 + 42x + -42x

Combine like terms: 42x + -42x = 0
20 + -30x = 21 + 0
20 + -30x = 21

Add '-20' to each side of the equation.
20 + -20 + -30x = 21 + -20

Combine like terms: 20 + -20 = 0
0 + -30x = 21 + -20
-30x = 21 + -20

Combine like terms: 21 + -20 = 1
-30x = 1

Divide each side by '-30'.
x = -0.03333333333

Simplifying
x = -0.03333333333

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