4(x-30)+6(x+2)=7

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Solution for 4(x-30)+6(x+2)=7 equation: 


Simplifying
4(x + -30) + 6(x + 2) = 7

Reorder the terms:
4(-30 + x) + 6(x + 2) = 7
(-30 * 4 + x * 4) + 6(x + 2) = 7
(-120 + 4x) + 6(x + 2) = 7

Reorder the terms:
-120 + 4x + 6(2 + x) = 7
-120 + 4x + (2 * 6 + x * 6) = 7
-120 + 4x + (12 + 6x) = 7

Reorder the terms:
-120 + 12 + 4x + 6x = 7

Combine like terms: -120 + 12 = -108
-108 + 4x + 6x = 7

Combine like terms: 4x + 6x = 10x
-108 + 10x = 7

Solving
-108 + 10x = 7

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '108' to each side of the equation.
-108 + 108 + 10x = 7 + 108

Combine like terms: -108 + 108 = 0
0 + 10x = 7 + 108
10x = 7 + 108

Combine like terms: 7 + 108 = 115
10x = 115

Divide each side by '10'.
x = 11.5

Simplifying
x = 11.5

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