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

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


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

Reorder the terms:
4(2 + x) = 3(x + -5)
(2 * 4 + x * 4) = 3(x + -5)
(8 + 4x) = 3(x + -5)

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

Solving
8 + 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.
8 + 4x + -3x = -15 + 3x + -3x

Combine like terms: 4x + -3x = 1x
8 + 1x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + 1x = -15 + 0
8 + 1x = -15

Add '-8' to each side of the equation.
8 + -8 + 1x = -15 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = -15 + -8
1x = -15 + -8

Combine like terms: -15 + -8 = -23
1x = -23

Divide each side by '1'.
x = -23

Simplifying
x = -23

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