7(x+4)-4x=10

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Solution for 7(x+4)-4x=10 equation:


Simplifying
7(x + 4) + -4x = 10

Reorder the terms:
7(4 + x) + -4x = 10
(4 * 7 + x * 7) + -4x = 10
(28 + 7x) + -4x = 10

Combine like terms: 7x + -4x = 3x
28 + 3x = 10

Solving
28 + 3x = 10

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + 3x = 10 + -28

Combine like terms: 28 + -28 = 0
0 + 3x = 10 + -28
3x = 10 + -28

Combine like terms: 10 + -28 = -18
3x = -18

Divide each side by '3'.
x = -6

Simplifying
x = -6

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