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

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


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

Reorder the terms:
5(-4 + x) + 2(3 + x) = 9x + -4
(-4 * 5 + x * 5) + 2(3 + x) = 9x + -4
(-20 + 5x) + 2(3 + x) = 9x + -4
-20 + 5x + (3 * 2 + x * 2) = 9x + -4
-20 + 5x + (6 + 2x) = 9x + -4

Reorder the terms:
-20 + 6 + 5x + 2x = 9x + -4

Combine like terms: -20 + 6 = -14
-14 + 5x + 2x = 9x + -4

Combine like terms: 5x + 2x = 7x
-14 + 7x = 9x + -4

Reorder the terms:
-14 + 7x = -4 + 9x

Solving
-14 + 7x = -4 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-14 + 7x + -9x = -4 + 9x + -9x

Combine like terms: 7x + -9x = -2x
-14 + -2x = -4 + 9x + -9x

Combine like terms: 9x + -9x = 0
-14 + -2x = -4 + 0
-14 + -2x = -4

Add '14' to each side of the equation.
-14 + 14 + -2x = -4 + 14

Combine like terms: -14 + 14 = 0
0 + -2x = -4 + 14
-2x = -4 + 14

Combine like terms: -4 + 14 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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