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

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


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

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

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

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

Combine like terms: 10x + -3x = 7x
1 + 2x = 3 + 7x

Solving
1 + 2x = 3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
1 + 2x + -7x = 3 + 7x + -7x

Combine like terms: 2x + -7x = -5x
1 + -5x = 3 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + -5x = 3 + 0
1 + -5x = 3

Add '-1' to each side of the equation.
1 + -1 + -5x = 3 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 3 + -1
-5x = 3 + -1

Combine like terms: 3 + -1 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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