4+2(3x-6)=5-4(2x+1)

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Solution for 4+2(3x-6)=5-4(2x+1) equation:


Simplifying
4 + 2(3x + -6) = 5 + -4(2x + 1)

Reorder the terms:
4 + 2(-6 + 3x) = 5 + -4(2x + 1)
4 + (-6 * 2 + 3x * 2) = 5 + -4(2x + 1)
4 + (-12 + 6x) = 5 + -4(2x + 1)

Combine like terms: 4 + -12 = -8
-8 + 6x = 5 + -4(2x + 1)

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

Combine like terms: 5 + -4 = 1
-8 + 6x = 1 + -8x

Solving
-8 + 6x = 1 + -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.
-8 + 6x + 8x = 1 + -8x + 8x

Combine like terms: 6x + 8x = 14x
-8 + 14x = 1 + -8x + 8x

Combine like terms: -8x + 8x = 0
-8 + 14x = 1 + 0
-8 + 14x = 1

Add '8' to each side of the equation.
-8 + 8 + 14x = 1 + 8

Combine like terms: -8 + 8 = 0
0 + 14x = 1 + 8
14x = 1 + 8

Combine like terms: 1 + 8 = 9
14x = 9

Divide each side by '14'.
x = 0.6428571429

Simplifying
x = 0.6428571429

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