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

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


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

Reorder the terms:
5(2 + x) + -3 = 4(x + 4)
(2 * 5 + x * 5) + -3 = 4(x + 4)
(10 + 5x) + -3 = 4(x + 4)

Reorder the terms:
10 + -3 + 5x = 4(x + 4)

Combine like terms: 10 + -3 = 7
7 + 5x = 4(x + 4)

Reorder the terms:
7 + 5x = 4(4 + x)
7 + 5x = (4 * 4 + x * 4)
7 + 5x = (16 + 4x)

Solving
7 + 5x = 16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
7 + 5x + -4x = 16 + 4x + -4x

Combine like terms: 5x + -4x = 1x
7 + 1x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + 1x = 16 + 0
7 + 1x = 16

Add '-7' to each side of the equation.
7 + -7 + 1x = 16 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 16 + -7
1x = 16 + -7

Combine like terms: 16 + -7 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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