7(x-4)-2x=19+3(x+3)

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Solution for 7(x-4)-2x=19+3(x+3) equation:


Simplifying
7(x + -4) + -2x = 19 + 3(x + 3)

Reorder the terms:
7(-4 + x) + -2x = 19 + 3(x + 3)
(-4 * 7 + x * 7) + -2x = 19 + 3(x + 3)
(-28 + 7x) + -2x = 19 + 3(x + 3)

Combine like terms: 7x + -2x = 5x
-28 + 5x = 19 + 3(x + 3)

Reorder the terms:
-28 + 5x = 19 + 3(3 + x)
-28 + 5x = 19 + (3 * 3 + x * 3)
-28 + 5x = 19 + (9 + 3x)

Combine like terms: 19 + 9 = 28
-28 + 5x = 28 + 3x

Solving
-28 + 5x = 28 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-28 + 5x + -3x = 28 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-28 + 2x = 28 + 3x + -3x

Combine like terms: 3x + -3x = 0
-28 + 2x = 28 + 0
-28 + 2x = 28

Add '28' to each side of the equation.
-28 + 28 + 2x = 28 + 28

Combine like terms: -28 + 28 = 0
0 + 2x = 28 + 28
2x = 28 + 28

Combine like terms: 28 + 28 = 56
2x = 56

Divide each side by '2'.
x = 28

Simplifying
x = 28

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