4(x-2)=6(x+5)

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Solution for 4(x-2)=6(x+5) equation:


Simplifying
4(x + -2) = 6(x + 5)

Reorder the terms:
4(-2 + x) = 6(x + 5)
(-2 * 4 + x * 4) = 6(x + 5)
(-8 + 4x) = 6(x + 5)

Reorder the terms:
-8 + 4x = 6(5 + x)
-8 + 4x = (5 * 6 + x * 6)
-8 + 4x = (30 + 6x)

Solving
-8 + 4x = 30 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-8 + 4x + -6x = 30 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-8 + -2x = 30 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + -2x = 30 + 0
-8 + -2x = 30

Add '8' to each side of the equation.
-8 + 8 + -2x = 30 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = 30 + 8
-2x = 30 + 8

Combine like terms: 30 + 8 = 38
-2x = 38

Divide each side by '-2'.
x = -19

Simplifying
x = -19

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