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

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


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

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

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

Reorder the terms:
-5 + 4x = 6(5 + x) + 5
-5 + 4x = (5 * 6 + x * 6) + 5
-5 + 4x = (30 + 6x) + 5

Reorder the terms:
-5 + 4x = 30 + 5 + 6x

Combine like terms: 30 + 5 = 35
-5 + 4x = 35 + 6x

Solving
-5 + 4x = 35 + 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.
-5 + 4x + -6x = 35 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-5 + -2x = 35 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -2x = 35 + 0
-5 + -2x = 35

Add '5' to each side of the equation.
-5 + 5 + -2x = 35 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 35 + 5
-2x = 35 + 5

Combine like terms: 35 + 5 = 40
-2x = 40

Divide each side by '-2'.
x = -20

Simplifying
x = -20

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