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

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


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

Reorder the terms:
3(-6 + x) = 4(x + 10)
(-6 * 3 + x * 3) = 4(x + 10)
(-18 + 3x) = 4(x + 10)

Reorder the terms:
-18 + 3x = 4(10 + x)
-18 + 3x = (10 * 4 + x * 4)
-18 + 3x = (40 + 4x)

Solving
-18 + 3x = 40 + 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.
-18 + 3x + -4x = 40 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-18 + -1x = 40 + 4x + -4x

Combine like terms: 4x + -4x = 0
-18 + -1x = 40 + 0
-18 + -1x = 40

Add '18' to each side of the equation.
-18 + 18 + -1x = 40 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = 40 + 18
-1x = 40 + 18

Combine like terms: 40 + 18 = 58
-1x = 58

Divide each side by '-1'.
x = -58

Simplifying
x = -58

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