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

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


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

Reorder the terms:
5(4 + x) + -2(7 + -2x) = 3(2x + 3)
(4 * 5 + x * 5) + -2(7 + -2x) = 3(2x + 3)
(20 + 5x) + -2(7 + -2x) = 3(2x + 3)
20 + 5x + (7 * -2 + -2x * -2) = 3(2x + 3)
20 + 5x + (-14 + 4x) = 3(2x + 3)

Reorder the terms:
20 + -14 + 5x + 4x = 3(2x + 3)

Combine like terms: 20 + -14 = 6
6 + 5x + 4x = 3(2x + 3)

Combine like terms: 5x + 4x = 9x
6 + 9x = 3(2x + 3)

Reorder the terms:
6 + 9x = 3(3 + 2x)
6 + 9x = (3 * 3 + 2x * 3)
6 + 9x = (9 + 6x)

Solving
6 + 9x = 9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + 9x + -6x = 9 + 6x + -6x

Combine like terms: 9x + -6x = 3x
6 + 3x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + 3x = 9 + 0
6 + 3x = 9

Add '-6' to each side of the equation.
6 + -6 + 3x = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 9 + -6
3x = 9 + -6

Combine like terms: 9 + -6 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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