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

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


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

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

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

Solving
32 + 4x = 15 + 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.
32 + 4x + -3x = 15 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
32 + 1x = 15 + 0
32 + 1x = 15

Add '-32' to each side of the equation.
32 + -32 + 1x = 15 + -32

Combine like terms: 32 + -32 = 0
0 + 1x = 15 + -32
1x = 15 + -32

Combine like terms: 15 + -32 = -17
1x = -17

Divide each side by '1'.
x = -17

Simplifying
x = -17

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