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

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


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

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

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

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

Combine like terms: -4 + 1 = -3
3 + 10x = -3 + 4x

Solving
3 + 10x = -3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + 10x + -4x = -3 + 4x + -4x

Combine like terms: 10x + -4x = 6x
3 + 6x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + 6x = -3 + 0
3 + 6x = -3

Add '-3' to each side of the equation.
3 + -3 + 6x = -3 + -3

Combine like terms: 3 + -3 = 0
0 + 6x = -3 + -3
6x = -3 + -3

Combine like terms: -3 + -3 = -6
6x = -6

Divide each side by '6'.
x = -1

Simplifying
x = -1

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