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

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


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

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

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

Combine like terms: 12 + 10 = 22
22 + 4x = 3(x + -6)

Reorder the terms:
22 + 4x = 3(-6 + x)
22 + 4x = (-6 * 3 + x * 3)
22 + 4x = (-18 + 3x)

Solving
22 + 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.
22 + 4x + -3x = -18 + 3x + -3x

Combine like terms: 4x + -3x = 1x
22 + 1x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
22 + 1x = -18 + 0
22 + 1x = -18

Add '-22' to each side of the equation.
22 + -22 + 1x = -18 + -22

Combine like terms: 22 + -22 = 0
0 + 1x = -18 + -22
1x = -18 + -22

Combine like terms: -18 + -22 = -40
1x = -40

Divide each side by '1'.
x = -40

Simplifying
x = -40

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