2(2x+7)-3=6-3(x-4)

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Solution for 2(2x+7)-3=6-3(x-4) equation:


Simplifying
2(2x + 7) + -3 = 6 + -3(x + -4)

Reorder the terms:
2(7 + 2x) + -3 = 6 + -3(x + -4)
(7 * 2 + 2x * 2) + -3 = 6 + -3(x + -4)
(14 + 4x) + -3 = 6 + -3(x + -4)

Reorder the terms:
14 + -3 + 4x = 6 + -3(x + -4)

Combine like terms: 14 + -3 = 11
11 + 4x = 6 + -3(x + -4)

Reorder the terms:
11 + 4x = 6 + -3(-4 + x)
11 + 4x = 6 + (-4 * -3 + x * -3)
11 + 4x = 6 + (12 + -3x)

Combine like terms: 6 + 12 = 18
11 + 4x = 18 + -3x

Solving
11 + 4x = 18 + -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.
11 + 4x + 3x = 18 + -3x + 3x

Combine like terms: 4x + 3x = 7x
11 + 7x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
11 + 7x = 18 + 0
11 + 7x = 18

Add '-11' to each side of the equation.
11 + -11 + 7x = 18 + -11

Combine like terms: 11 + -11 = 0
0 + 7x = 18 + -11
7x = 18 + -11

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

Divide each side by '7'.
x = 1

Simplifying
x = 1

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