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

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


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

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

Remove parenthesis around (3 + x)
3 + x + -2(3 + -4x) = 4(x + 5) + -3
3 + x + (3 * -2 + -4x * -2) = 4(x + 5) + -3
3 + x + (-6 + 8x) = 4(x + 5) + -3

Reorder the terms:
3 + -6 + x + 8x = 4(x + 5) + -3

Combine like terms: 3 + -6 = -3
-3 + x + 8x = 4(x + 5) + -3

Combine like terms: x + 8x = 9x
-3 + 9x = 4(x + 5) + -3

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

Reorder the terms:
-3 + 9x = 20 + -3 + 4x

Combine like terms: 20 + -3 = 17
-3 + 9x = 17 + 4x

Solving
-3 + 9x = 17 + 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.
-3 + 9x + -4x = 17 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-3 + 5x = 17 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + 5x = 17 + 0
-3 + 5x = 17

Add '3' to each side of the equation.
-3 + 3 + 5x = 17 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 17 + 3
5x = 17 + 3

Combine like terms: 17 + 3 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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