4+2(5x-4)=6[2(x-1)]

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Solution for 4+2(5x-4)=6[2(x-1)] equation:


Simplifying
4 + 2(5x + -4) = 6[2(x + -1)]

Reorder the terms:
4 + 2(-4 + 5x) = 6[2(x + -1)]
4 + (-4 * 2 + 5x * 2) = 6[2(x + -1)]
4 + (-8 + 10x) = 6[2(x + -1)]

Combine like terms: 4 + -8 = -4
-4 + 10x = 6[2(x + -1)]

Reorder the terms:
-4 + 10x = 6[2(-1 + x)]
-4 + 10x = 6[(-1 * 2 + x * 2)]
-4 + 10x = 6[(-2 + 2x)]
-4 + 10x = [-2 * 6 + 2x * 6]
-4 + 10x = [-12 + 12x]

Solving
-4 + 10x = -12 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-4 + 10x + -12x = -12 + 12x + -12x

Combine like terms: 10x + -12x = -2x
-4 + -2x = -12 + 12x + -12x

Combine like terms: 12x + -12x = 0
-4 + -2x = -12 + 0
-4 + -2x = -12

Add '4' to each side of the equation.
-4 + 4 + -2x = -12 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = -12 + 4
-2x = -12 + 4

Combine like terms: -12 + 4 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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