10x+10=8x+7+4x-2

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Solution for 10x+10=8x+7+4x-2 equation:


Simplifying
10x + 10 = 8x + 7 + 4x + -2

Reorder the terms:
10 + 10x = 8x + 7 + 4x + -2

Reorder the terms:
10 + 10x = 7 + -2 + 8x + 4x

Combine like terms: 7 + -2 = 5
10 + 10x = 5 + 8x + 4x

Combine like terms: 8x + 4x = 12x
10 + 10x = 5 + 12x

Solving
10 + 10x = 5 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
10 + 10x + -12x = 5 + 12x + -12x

Combine like terms: 10x + -12x = -2x
10 + -2x = 5 + 12x + -12x

Combine like terms: 12x + -12x = 0
10 + -2x = 5 + 0
10 + -2x = 5

Add '-10' to each side of the equation.
10 + -10 + -2x = 5 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 5 + -10
-2x = 5 + -10

Combine like terms: 5 + -10 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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