4(x+8)-3(x+5)=3(x+1)

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Solution for 4(x+8)-3(x+5)=3(x+1) equation:


Simplifying
4(x + 8) + -3(x + 5) = 3(x + 1)

Reorder the terms:
4(8 + x) + -3(x + 5) = 3(x + 1)
(8 * 4 + x * 4) + -3(x + 5) = 3(x + 1)
(32 + 4x) + -3(x + 5) = 3(x + 1)

Reorder the terms:
32 + 4x + -3(5 + x) = 3(x + 1)
32 + 4x + (5 * -3 + x * -3) = 3(x + 1)
32 + 4x + (-15 + -3x) = 3(x + 1)

Reorder the terms:
32 + -15 + 4x + -3x = 3(x + 1)

Combine like terms: 32 + -15 = 17
17 + 4x + -3x = 3(x + 1)

Combine like terms: 4x + -3x = 1x
17 + 1x = 3(x + 1)

Reorder the terms:
17 + 1x = 3(1 + x)
17 + 1x = (1 * 3 + x * 3)
17 + 1x = (3 + 3x)

Solving
17 + 1x = 3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
17 + 1x + -3x = 3 + 3x + -3x

Combine like terms: 1x + -3x = -2x
17 + -2x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
17 + -2x = 3 + 0
17 + -2x = 3

Add '-17' to each side of the equation.
17 + -17 + -2x = 3 + -17

Combine like terms: 17 + -17 = 0
0 + -2x = 3 + -17
-2x = 3 + -17

Combine like terms: 3 + -17 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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