10x+30+6x+18=8x+20+10x+12

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Solution for 10x+30+6x+18=8x+20+10x+12 equation:


Simplifying
10x + 30 + 6x + 18 = 8x + 20 + 10x + 12

Reorder the terms:
30 + 18 + 10x + 6x = 8x + 20 + 10x + 12

Combine like terms: 30 + 18 = 48
48 + 10x + 6x = 8x + 20 + 10x + 12

Combine like terms: 10x + 6x = 16x
48 + 16x = 8x + 20 + 10x + 12

Reorder the terms:
48 + 16x = 20 + 12 + 8x + 10x

Combine like terms: 20 + 12 = 32
48 + 16x = 32 + 8x + 10x

Combine like terms: 8x + 10x = 18x
48 + 16x = 32 + 18x

Solving
48 + 16x = 32 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
48 + 16x + -18x = 32 + 18x + -18x

Combine like terms: 16x + -18x = -2x
48 + -2x = 32 + 18x + -18x

Combine like terms: 18x + -18x = 0
48 + -2x = 32 + 0
48 + -2x = 32

Add '-48' to each side of the equation.
48 + -48 + -2x = 32 + -48

Combine like terms: 48 + -48 = 0
0 + -2x = 32 + -48
-2x = 32 + -48

Combine like terms: 32 + -48 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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