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

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


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

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

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

Reorder the terms:
2 + -8x = 4 + 2(-6 + x) + 3
2 + -8x = 4 + (-6 * 2 + x * 2) + 3
2 + -8x = 4 + (-12 + 2x) + 3

Reorder the terms:
2 + -8x = 4 + -12 + 3 + 2x

Combine like terms: 4 + -12 = -8
2 + -8x = -8 + 3 + 2x

Combine like terms: -8 + 3 = -5
2 + -8x = -5 + 2x

Solving
2 + -8x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2 + -8x + -2x = -5 + 2x + -2x

Combine like terms: -8x + -2x = -10x
2 + -10x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + -10x = -5 + 0
2 + -10x = -5

Add '-2' to each side of the equation.
2 + -2 + -10x = -5 + -2

Combine like terms: 2 + -2 = 0
0 + -10x = -5 + -2
-10x = -5 + -2

Combine like terms: -5 + -2 = -7
-10x = -7

Divide each side by '-10'.
x = 0.7

Simplifying
x = 0.7

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