5(4x+3)=7(x+4)+19

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Solution for 5(4x+3)=7(x+4)+19 equation:


Simplifying
5(4x + 3) = 7(x + 4) + 19

Reorder the terms:
5(3 + 4x) = 7(x + 4) + 19
(3 * 5 + 4x * 5) = 7(x + 4) + 19
(15 + 20x) = 7(x + 4) + 19

Reorder the terms:
15 + 20x = 7(4 + x) + 19
15 + 20x = (4 * 7 + x * 7) + 19
15 + 20x = (28 + 7x) + 19

Reorder the terms:
15 + 20x = 28 + 19 + 7x

Combine like terms: 28 + 19 = 47
15 + 20x = 47 + 7x

Solving
15 + 20x = 47 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
15 + 20x + -7x = 47 + 7x + -7x

Combine like terms: 20x + -7x = 13x
15 + 13x = 47 + 7x + -7x

Combine like terms: 7x + -7x = 0
15 + 13x = 47 + 0
15 + 13x = 47

Add '-15' to each side of the equation.
15 + -15 + 13x = 47 + -15

Combine like terms: 15 + -15 = 0
0 + 13x = 47 + -15
13x = 47 + -15

Combine like terms: 47 + -15 = 32
13x = 32

Divide each side by '13'.
x = 2.461538462

Simplifying
x = 2.461538462

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