6(x-3)=-4(x+1)+30

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Solution for 6(x-3)=-4(x+1)+30 equation: 


Simplifying
6(x + -3) = -4(x + 1) + 30

Reorder the terms:
6(-3 + x) = -4(x + 1) + 30
(-3 * 6 + x * 6) = -4(x + 1) + 30
(-18 + 6x) = -4(x + 1) + 30

Reorder the terms:
-18 + 6x = -4(1 + x) + 30
-18 + 6x = (1 * -4 + x * -4) + 30
-18 + 6x = (-4 + -4x) + 30

Reorder the terms:
-18 + 6x = -4 + 30 + -4x

Combine like terms: -4 + 30 = 26
-18 + 6x = 26 + -4x

Solving
-18 + 6x = 26 + -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 + 6x + 4x = 26 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-18 + 10x = 26 + -4x + 4x

Combine like terms: -4x + 4x = 0
-18 + 10x = 26 + 0
-18 + 10x = 26

Add '18' to each side of the equation.
-18 + 18 + 10x = 26 + 18

Combine like terms: -18 + 18 = 0
0 + 10x = 26 + 18
10x = 26 + 18

Combine like terms: 26 + 18 = 44
10x = 44

Divide each side by '10'.
x = 4.4

Simplifying
x = 4.4

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