10x+3=4(2x+1)-2

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Solution for 10x+3=4(2x+1)-2 equation:


Simplifying
10x + 3 = 4(2x + 1) + -2

Reorder the terms:
3 + 10x = 4(2x + 1) + -2

Reorder the terms:
3 + 10x = 4(1 + 2x) + -2
3 + 10x = (1 * 4 + 2x * 4) + -2
3 + 10x = (4 + 8x) + -2

Reorder the terms:
3 + 10x = 4 + -2 + 8x

Combine like terms: 4 + -2 = 2
3 + 10x = 2 + 8x

Solving
3 + 10x = 2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
3 + 10x + -8x = 2 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
3 + 2x = 2 + 0
3 + 2x = 2

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

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

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

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