2(x-4)+3=4(x+1)

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Solution for 2(x-4)+3=4(x+1) equation:


Simplifying
2(x + -4) + 3 = 4(x + 1)

Reorder the terms:
2(-4 + x) + 3 = 4(x + 1)
(-4 * 2 + x * 2) + 3 = 4(x + 1)
(-8 + 2x) + 3 = 4(x + 1)

Reorder the terms:
-8 + 3 + 2x = 4(x + 1)

Combine like terms: -8 + 3 = -5
-5 + 2x = 4(x + 1)

Reorder the terms:
-5 + 2x = 4(1 + x)
-5 + 2x = (1 * 4 + x * 4)
-5 + 2x = (4 + 4x)

Solving
-5 + 2x = 4 + 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.
-5 + 2x + -4x = 4 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-5 + -2x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + -2x = 4 + 0
-5 + -2x = 4

Add '5' to each side of the equation.
-5 + 5 + -2x = 4 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 4 + 5
-2x = 4 + 5

Combine like terms: 4 + 5 = 9
-2x = 9

Divide each side by '-2'.
x = -4.5

Simplifying
x = -4.5

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