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

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


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

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

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

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

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

Combine like terms: 3x + -3x = 0
40 + 1x = -18 + 0
40 + 1x = -18

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

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

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

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

Simplifying
x = -58

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