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

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


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

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

Combine like terms: 1 + -8 = -7
-7 + 4x = 3(5 + -1x) + -4
-7 + 4x = (5 * 3 + -1x * 3) + -4
-7 + 4x = (15 + -3x) + -4

Reorder the terms:
-7 + 4x = 15 + -4 + -3x

Combine like terms: 15 + -4 = 11
-7 + 4x = 11 + -3x

Solving
-7 + 4x = 11 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-7 + 4x + 3x = 11 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-7 + 7x = 11 + -3x + 3x

Combine like terms: -3x + 3x = 0
-7 + 7x = 11 + 0
-7 + 7x = 11

Add '7' to each side of the equation.
-7 + 7 + 7x = 11 + 7

Combine like terms: -7 + 7 = 0
0 + 7x = 11 + 7
7x = 11 + 7

Combine like terms: 11 + 7 = 18
7x = 18

Divide each side by '7'.
x = 2.571428571

Simplifying
x = 2.571428571

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