4(x-1)+10=5x-14+x

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Solution for 4(x-1)+10=5x-14+x equation:


Simplifying
4(x + -1) + 10 = 5x + -14 + x

Reorder the terms:
4(-1 + x) + 10 = 5x + -14 + x
(-1 * 4 + x * 4) + 10 = 5x + -14 + x
(-4 + 4x) + 10 = 5x + -14 + x

Reorder the terms:
-4 + 10 + 4x = 5x + -14 + x

Combine like terms: -4 + 10 = 6
6 + 4x = 5x + -14 + x

Reorder the terms:
6 + 4x = -14 + 5x + x

Combine like terms: 5x + x = 6x
6 + 4x = -14 + 6x

Solving
6 + 4x = -14 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + 4x + -6x = -14 + 6x + -6x

Combine like terms: 4x + -6x = -2x
6 + -2x = -14 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -2x = -14 + 0
6 + -2x = -14

Add '-6' to each side of the equation.
6 + -6 + -2x = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -14 + -6
-2x = -14 + -6

Combine like terms: -14 + -6 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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