5(x+3)+2(x-9)=4

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Solution for 5(x+3)+2(x-9)=4 equation: 


Simplifying
5(x + 3) + 2(x + -9) = 4

Reorder the terms:
5(3 + x) + 2(x + -9) = 4
(3 * 5 + x * 5) + 2(x + -9) = 4
(15 + 5x) + 2(x + -9) = 4

Reorder the terms:
15 + 5x + 2(-9 + x) = 4
15 + 5x + (-9 * 2 + x * 2) = 4
15 + 5x + (-18 + 2x) = 4

Reorder the terms:
15 + -18 + 5x + 2x = 4

Combine like terms: 15 + -18 = -3
-3 + 5x + 2x = 4

Combine like terms: 5x + 2x = 7x
-3 + 7x = 4

Solving
-3 + 7x = 4

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 7x = 4 + 3

Combine like terms: -3 + 3 = 0
0 + 7x = 4 + 3
7x = 4 + 3

Combine like terms: 4 + 3 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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