6(x-1)-5=4-2(x+3)

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Solution for 6(x-1)-5=4-2(x+3) equation:


Simplifying
6(x + -1) + -5 = 4 + -2(x + 3)

Reorder the terms:
6(-1 + x) + -5 = 4 + -2(x + 3)
(-1 * 6 + x * 6) + -5 = 4 + -2(x + 3)
(-6 + 6x) + -5 = 4 + -2(x + 3)

Reorder the terms:
-6 + -5 + 6x = 4 + -2(x + 3)

Combine like terms: -6 + -5 = -11
-11 + 6x = 4 + -2(x + 3)

Reorder the terms:
-11 + 6x = 4 + -2(3 + x)
-11 + 6x = 4 + (3 * -2 + x * -2)
-11 + 6x = 4 + (-6 + -2x)

Combine like terms: 4 + -6 = -2
-11 + 6x = -2 + -2x

Solving
-11 + 6x = -2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-11 + 6x + 2x = -2 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-11 + 8x = -2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-11 + 8x = -2 + 0
-11 + 8x = -2

Add '11' to each side of the equation.
-11 + 11 + 8x = -2 + 11

Combine like terms: -11 + 11 = 0
0 + 8x = -2 + 11
8x = -2 + 11

Combine like terms: -2 + 11 = 9
8x = 9

Divide each side by '8'.
x = 1.125

Simplifying
x = 1.125

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