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

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Solution for 5(x+4)=7x+2(x-3) equation:


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

Reorder the terms:
5(4 + x) = 7x + 2(x + -3)
(4 * 5 + x * 5) = 7x + 2(x + -3)
(20 + 5x) = 7x + 2(x + -3)

Reorder the terms:
20 + 5x = 7x + 2(-3 + x)
20 + 5x = 7x + (-3 * 2 + x * 2)
20 + 5x = 7x + (-6 + 2x)

Reorder the terms:
20 + 5x = -6 + 7x + 2x

Combine like terms: 7x + 2x = 9x
20 + 5x = -6 + 9x

Solving
20 + 5x = -6 + 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.
20 + 5x + -9x = -6 + 9x + -9x

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

Combine like terms: 9x + -9x = 0
20 + -4x = -6 + 0
20 + -4x = -6

Add '-20' to each side of the equation.
20 + -20 + -4x = -6 + -20

Combine like terms: 20 + -20 = 0
0 + -4x = -6 + -20
-4x = -6 + -20

Combine like terms: -6 + -20 = -26
-4x = -26

Divide each side by '-4'.
x = 6.5

Simplifying
x = 6.5

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