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

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


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

Reorder the terms:
3(5 + x) + 8 = 4(x + -3)
(5 * 3 + x * 3) + 8 = 4(x + -3)
(15 + 3x) + 8 = 4(x + -3)

Reorder the terms:
15 + 8 + 3x = 4(x + -3)

Combine like terms: 15 + 8 = 23
23 + 3x = 4(x + -3)

Reorder the terms:
23 + 3x = 4(-3 + x)
23 + 3x = (-3 * 4 + x * 4)
23 + 3x = (-12 + 4x)

Solving
23 + 3x = -12 + 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 + 3x + -4x = -12 + 4x + -4x

Combine like terms: 3x + -4x = -1x
23 + -1x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
23 + -1x = -12 + 0
23 + -1x = -12

Add '-23' to each side of the equation.
23 + -23 + -1x = -12 + -23

Combine like terms: 23 + -23 = 0
0 + -1x = -12 + -23
-1x = -12 + -23

Combine like terms: -12 + -23 = -35
-1x = -35

Divide each side by '-1'.
x = 35

Simplifying
x = 35

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