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

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


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

Reorder the terms:
2x + 5 + -3(-3 + -6x) = 4(x + -1)
2x + 5 + (-3 * -3 + -6x * -3) = 4(x + -1)
2x + 5 + (9 + 18x) = 4(x + -1)

Reorder the terms:
5 + 9 + 2x + 18x = 4(x + -1)

Combine like terms: 5 + 9 = 14
14 + 2x + 18x = 4(x + -1)

Combine like terms: 2x + 18x = 20x
14 + 20x = 4(x + -1)

Reorder the terms:
14 + 20x = 4(-1 + x)
14 + 20x = (-1 * 4 + x * 4)
14 + 20x = (-4 + 4x)

Solving
14 + 20x = -4 + 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.
14 + 20x + -4x = -4 + 4x + -4x

Combine like terms: 20x + -4x = 16x
14 + 16x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + 16x = -4 + 0
14 + 16x = -4

Add '-14' to each side of the equation.
14 + -14 + 16x = -4 + -14

Combine like terms: 14 + -14 = 0
0 + 16x = -4 + -14
16x = -4 + -14

Combine like terms: -4 + -14 = -18
16x = -18

Divide each side by '16'.
x = -1.125

Simplifying
x = -1.125

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