4(x+7)=19+7x

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


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

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

Solving
28 + 4x = 19 + 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.
28 + 4x + -7x = 19 + 7x + -7x

Combine like terms: 4x + -7x = -3x
28 + -3x = 19 + 7x + -7x

Combine like terms: 7x + -7x = 0
28 + -3x = 19 + 0
28 + -3x = 19

Add '-28' to each side of the equation.
28 + -28 + -3x = 19 + -28

Combine like terms: 28 + -28 = 0
0 + -3x = 19 + -28
-3x = 19 + -28

Combine like terms: 19 + -28 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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