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

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


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

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

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

Combine like terms: 4 + 3 = 7
7 + 1 + 6x = 6x + -2(x + -6) + 3

Combine like terms: 7 + 1 = 8
8 + 6x = 6x + -2(x + -6) + 3

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

Reorder the terms:
8 + 6x = 12 + 3 + 6x + -2x

Combine like terms: 12 + 3 = 15
8 + 6x = 15 + 6x + -2x

Combine like terms: 6x + -2x = 4x
8 + 6x = 15 + 4x

Solving
8 + 6x = 15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
8 + 6x + -4x = 15 + 4x + -4x

Combine like terms: 6x + -4x = 2x
8 + 2x = 15 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + 2x = 15 + 0
8 + 2x = 15

Add '-8' to each side of the equation.
8 + -8 + 2x = 15 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 15 + -8
2x = 15 + -8

Combine like terms: 15 + -8 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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