7(x+4)-3(x+6)=19

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Solution for 7(x+4)-3(x+6)=19 equation: 


Simplifying
7(x + 4) + -3(x + 6) = 19

Reorder the terms:
7(4 + x) + -3(x + 6) = 19
(4 * 7 + x * 7) + -3(x + 6) = 19
(28 + 7x) + -3(x + 6) = 19

Reorder the terms:
28 + 7x + -3(6 + x) = 19
28 + 7x + (6 * -3 + x * -3) = 19
28 + 7x + (-18 + -3x) = 19

Reorder the terms:
28 + -18 + 7x + -3x = 19

Combine like terms: 28 + -18 = 10
10 + 7x + -3x = 19

Combine like terms: 7x + -3x = 4x
10 + 4x = 19

Solving
10 + 4x = 19

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 4x = 19 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 19 + -10
4x = 19 + -10

Combine like terms: 19 + -10 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25

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