8x+3-10x=2[x-2]+3

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Solution for 8x+3-10x=2[x-2]+3 equation:


Simplifying
8x + 3 + -10x = 2[x + -2] + 3

Reorder the terms:
3 + 8x + -10x = 2[x + -2] + 3

Combine like terms: 8x + -10x = -2x
3 + -2x = 2[x + -2] + 3

Reorder the terms:
3 + -2x = 2[-2 + x] + 3
3 + -2x = [-2 * 2 + x * 2] + 3
3 + -2x = [-4 + 2x] + 3

Reorder the terms:
3 + -2x = -4 + 3 + 2x

Combine like terms: -4 + 3 = -1
3 + -2x = -1 + 2x

Solving
3 + -2x = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + -2x + -2x = -1 + 2x + -2x

Combine like terms: -2x + -2x = -4x
3 + -4x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -4x = -1 + 0
3 + -4x = -1

Add '-3' to each side of the equation.
3 + -3 + -4x = -1 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -1 + -3
-4x = -1 + -3

Combine like terms: -1 + -3 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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