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

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


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

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

Combine like terms: 3 + 20 = 23
23 + 5x = 4(x + -2) + 3

Reorder the terms:
23 + 5x = 4(-2 + x) + 3
23 + 5x = (-2 * 4 + x * 4) + 3
23 + 5x = (-8 + 4x) + 3

Reorder the terms:
23 + 5x = -8 + 3 + 4x

Combine like terms: -8 + 3 = -5
23 + 5x = -5 + 4x

Solving
23 + 5x = -5 + 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.
23 + 5x + -4x = -5 + 4x + -4x

Combine like terms: 5x + -4x = 1x
23 + 1x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
23 + 1x = -5 + 0
23 + 1x = -5

Add '-23' to each side of the equation.
23 + -23 + 1x = -5 + -23

Combine like terms: 23 + -23 = 0
0 + 1x = -5 + -23
1x = -5 + -23

Combine like terms: -5 + -23 = -28
1x = -28

Divide each side by '1'.
x = -28

Simplifying
x = -28

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