2*(x-3)+5=4x-3*(2x+4)

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


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

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

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

Combine like terms: -6 + 5 = -1
-1 + 2x = 4x + -3(2x + 4)

Reorder the terms:
-1 + 2x = 4x + -3(4 + 2x)
-1 + 2x = 4x + (4 * -3 + 2x * -3)
-1 + 2x = 4x + (-12 + -6x)

Reorder the terms:
-1 + 2x = -12 + 4x + -6x

Combine like terms: 4x + -6x = -2x
-1 + 2x = -12 + -2x

Solving
-1 + 2x = -12 + -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.
-1 + 2x + 2x = -12 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-1 + 4x = -12 + -2x + 2x

Combine like terms: -2x + 2x = 0
-1 + 4x = -12 + 0
-1 + 4x = -12

Add '1' to each side of the equation.
-1 + 1 + 4x = -12 + 1

Combine like terms: -1 + 1 = 0
0 + 4x = -12 + 1
4x = -12 + 1

Combine like terms: -12 + 1 = -11
4x = -11

Divide each side by '4'.
x = -2.75

Simplifying
x = -2.75

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