4(x-10)=6(x+3)

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Solution for 4(x-10)=6(x+3) equation:


Simplifying
4(x + -10) = 6(x + 3)

Reorder the terms:
4(-10 + x) = 6(x + 3)
(-10 * 4 + x * 4) = 6(x + 3)
(-40 + 4x) = 6(x + 3)

Reorder the terms:
-40 + 4x = 6(3 + x)
-40 + 4x = (3 * 6 + x * 6)
-40 + 4x = (18 + 6x)

Solving
-40 + 4x = 18 + 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.
-40 + 4x + -6x = 18 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-40 + -2x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
-40 + -2x = 18 + 0
-40 + -2x = 18

Add '40' to each side of the equation.
-40 + 40 + -2x = 18 + 40

Combine like terms: -40 + 40 = 0
0 + -2x = 18 + 40
-2x = 18 + 40

Combine like terms: 18 + 40 = 58
-2x = 58

Divide each side by '-2'.
x = -29

Simplifying
x = -29

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