10(X+1)-2x=2(4x+2)-9

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Solution for 10(X+1)-2x=2(4x+2)-9 equation:


Simplifying
10(X + 1) + -2x = 2(4x + 2) + -9

Reorder the terms:
10(1 + X) + -2x = 2(4x + 2) + -9
(1 * 10 + X * 10) + -2x = 2(4x + 2) + -9
(10 + 10X) + -2x = 2(4x + 2) + -9

Reorder the terms:
10 + 10X + -2x = 2(2 + 4x) + -9
10 + 10X + -2x = (2 * 2 + 4x * 2) + -9
10 + 10X + -2x = (4 + 8x) + -9

Reorder the terms:
10 + 10X + -2x = 4 + -9 + 8x

Combine like terms: 4 + -9 = -5
10 + 10X + -2x = -5 + 8x

Solving
10 + 10X + -2x = -5 + 8x

Solving for variable 'X'.

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

Add '-10' to each side of the equation.
10 + 10X + -10 + -2x = -5 + -10 + 8x

Reorder the terms:
10 + -10 + 10X + -2x = -5 + -10 + 8x

Combine like terms: 10 + -10 = 0
0 + 10X + -2x = -5 + -10 + 8x
10X + -2x = -5 + -10 + 8x

Combine like terms: -5 + -10 = -15
10X + -2x = -15 + 8x

Add '2x' to each side of the equation.
10X + -2x + 2x = -15 + 8x + 2x

Combine like terms: -2x + 2x = 0
10X + 0 = -15 + 8x + 2x
10X = -15 + 8x + 2x

Combine like terms: 8x + 2x = 10x
10X = -15 + 10x

Divide each side by '10'.
X = -1.5 + x

Simplifying
X = -1.5 + x

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