4(x+5)=3(x-6)

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Solution for 4(x+5)=3(x-6) equation: 


Simplifying
4(x + 5) = 3(x + -6)

Reorder the terms:
4(5 + x) = 3(x + -6)
(5 * 4 + x * 4) = 3(x + -6)
(20 + 4x) = 3(x + -6)

Reorder the terms:
20 + 4x = 3(-6 + x)
20 + 4x = (-6 * 3 + x * 3)
20 + 4x = (-18 + 3x)

Solving
20 + 4x = -18 + 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.
20 + 4x + -3x = -18 + 3x + -3x

Combine like terms: 4x + -3x = 1x
20 + 1x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + 1x = -18 + 0
20 + 1x = -18

Add '-20' to each side of the equation.
20 + -20 + 1x = -18 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = -18 + -20
1x = -18 + -20

Combine like terms: -18 + -20 = -38
1x = -38

Divide each side by '1'.
x = -38

Simplifying
x = -38

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