4(x-3)=3(2x-10)

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Solution for 4(x-3)=3(2x-10) equation:


Simplifying
4(x + -3) = 3(2x + -10)

Reorder the terms:
4(-3 + x) = 3(2x + -10)
(-3 * 4 + x * 4) = 3(2x + -10)
(-12 + 4x) = 3(2x + -10)

Reorder the terms:
-12 + 4x = 3(-10 + 2x)
-12 + 4x = (-10 * 3 + 2x * 3)
-12 + 4x = (-30 + 6x)

Solving
-12 + 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.
-12 + 4x + -6x = -30 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-12 + -2x = -30 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + -2x = -30 + 0
-12 + -2x = -30

Add '12' to each side of the equation.
-12 + 12 + -2x = -30 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = -30 + 12
-2x = -30 + 12

Combine like terms: -30 + 12 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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