4(x+1)=10x-2

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


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

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

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

Solving
4 + 4x = -2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
4 + 4x + -10x = -2 + 10x + -10x

Combine like terms: 4x + -10x = -6x
4 + -6x = -2 + 10x + -10x

Combine like terms: 10x + -10x = 0
4 + -6x = -2 + 0
4 + -6x = -2

Add '-4' to each side of the equation.
4 + -4 + -6x = -2 + -4

Combine like terms: 4 + -4 = 0
0 + -6x = -2 + -4
-6x = -2 + -4

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

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

Simplifying
x = 1

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