2(2x-4)+5=(-7)+3(2x+1)

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Solution for 2(2x-4)+5=(-7)+3(2x+1) equation:


Simplifying
2(2x + -4) + 5 = (-7) + 3(2x + 1)

Reorder the terms:
2(-4 + 2x) + 5 = (-7) + 3(2x + 1)
(-4 * 2 + 2x * 2) + 5 = (-7) + 3(2x + 1)
(-8 + 4x) + 5 = (-7) + 3(2x + 1)

Reorder the terms:
-8 + 5 + 4x = (-7) + 3(2x + 1)

Combine like terms: -8 + 5 = -3
-3 + 4x = (-7) + 3(2x + 1)
-3 + 4x = -7 + 3(2x + 1)

Reorder the terms:
-3 + 4x = -7 + 3(1 + 2x)
-3 + 4x = -7 + (1 * 3 + 2x * 3)
-3 + 4x = -7 + (3 + 6x)

Combine like terms: -7 + 3 = -4
-3 + 4x = -4 + 6x

Solving
-3 + 4x = -4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-3 + 4x + -6x = -4 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-3 + -2x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + -2x = -4 + 0
-3 + -2x = -4

Add '3' to each side of the equation.
-3 + 3 + -2x = -4 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = -4 + 3
-2x = -4 + 3

Combine like terms: -4 + 3 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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