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

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


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

Reorder the terms:
2(4 + 3x) + -4(x + -2) = 3(5 + -2x) + 1
(4 * 2 + 3x * 2) + -4(x + -2) = 3(5 + -2x) + 1
(8 + 6x) + -4(x + -2) = 3(5 + -2x) + 1

Reorder the terms:
8 + 6x + -4(-2 + x) = 3(5 + -2x) + 1
8 + 6x + (-2 * -4 + x * -4) = 3(5 + -2x) + 1
8 + 6x + (8 + -4x) = 3(5 + -2x) + 1

Reorder the terms:
8 + 8 + 6x + -4x = 3(5 + -2x) + 1

Combine like terms: 8 + 8 = 16
16 + 6x + -4x = 3(5 + -2x) + 1

Combine like terms: 6x + -4x = 2x
16 + 2x = 3(5 + -2x) + 1
16 + 2x = (5 * 3 + -2x * 3) + 1
16 + 2x = (15 + -6x) + 1

Reorder the terms:
16 + 2x = 15 + 1 + -6x

Combine like terms: 15 + 1 = 16
16 + 2x = 16 + -6x

Add '-16' to each side of the equation.
16 + -16 + 2x = 16 + -16 + -6x

Combine like terms: 16 + -16 = 0
0 + 2x = 16 + -16 + -6x
2x = 16 + -16 + -6x

Combine like terms: 16 + -16 = 0
2x = 0 + -6x
2x = -6x

Solving
2x = -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.
2x + 6x = -6x + 6x

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

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

Divide each side by '8'.
x = 0

Simplifying
x = 0

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