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

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


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

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

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

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

Solving
23 + 5x = -8 + 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 = -8 + 4x + -4x

Combine like terms: 5x + -4x = 1x
23 + 1x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
23 + 1x = -8 + 0
23 + 1x = -8

Add '-23' to each side of the equation.
23 + -23 + 1x = -8 + -23

Combine like terms: 23 + -23 = 0
0 + 1x = -8 + -23
1x = -8 + -23

Combine like terms: -8 + -23 = -31
1x = -31

Divide each side by '1'.
x = -31

Simplifying
x = -31

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