8(19-x)=7(3x+4)

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Solution for 8(19-x)=7(3x+4) equation:


Simplifying
8(19 + -1x) = 7(3x + 4)
(19 * 8 + -1x * 8) = 7(3x + 4)
(152 + -8x) = 7(3x + 4)

Reorder the terms:
152 + -8x = 7(4 + 3x)
152 + -8x = (4 * 7 + 3x * 7)
152 + -8x = (28 + 21x)

Solving
152 + -8x = 28 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
152 + -8x + -21x = 28 + 21x + -21x

Combine like terms: -8x + -21x = -29x
152 + -29x = 28 + 21x + -21x

Combine like terms: 21x + -21x = 0
152 + -29x = 28 + 0
152 + -29x = 28

Add '-152' to each side of the equation.
152 + -152 + -29x = 28 + -152

Combine like terms: 152 + -152 = 0
0 + -29x = 28 + -152
-29x = 28 + -152

Combine like terms: 28 + -152 = -124
-29x = -124

Divide each side by '-29'.
x = 4.275862069

Simplifying
x = 4.275862069

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