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

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


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

Reorder the terms:
2(-4 + 3x) + 5 = 2(2 + 4x) + -7
(-4 * 2 + 3x * 2) + 5 = 2(2 + 4x) + -7
(-8 + 6x) + 5 = 2(2 + 4x) + -7

Reorder the terms:
-8 + 5 + 6x = 2(2 + 4x) + -7

Combine like terms: -8 + 5 = -3
-3 + 6x = 2(2 + 4x) + -7
-3 + 6x = (2 * 2 + 4x * 2) + -7
-3 + 6x = (4 + 8x) + -7

Reorder the terms:
-3 + 6x = 4 + -7 + 8x

Combine like terms: 4 + -7 = -3
-3 + 6x = -3 + 8x

Add '3' to each side of the equation.
-3 + 3 + 6x = -3 + 3 + 8x

Combine like terms: -3 + 3 = 0
0 + 6x = -3 + 3 + 8x
6x = -3 + 3 + 8x

Combine like terms: -3 + 3 = 0
6x = 0 + 8x
6x = 8x

Solving
6x = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6x + -8x = 8x + -8x

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

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

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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