20+3(x-4)=7+2(x+6)

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Solution for 20+3(x-4)=7+2(x+6) equation:


Simplifying
20 + 3(x + -4) = 7 + 2(x + 6)

Reorder the terms:
20 + 3(-4 + x) = 7 + 2(x + 6)
20 + (-4 * 3 + x * 3) = 7 + 2(x + 6)
20 + (-12 + 3x) = 7 + 2(x + 6)

Combine like terms: 20 + -12 = 8
8 + 3x = 7 + 2(x + 6)

Reorder the terms:
8 + 3x = 7 + 2(6 + x)
8 + 3x = 7 + (6 * 2 + x * 2)
8 + 3x = 7 + (12 + 2x)

Combine like terms: 7 + 12 = 19
8 + 3x = 19 + 2x

Solving
8 + 3x = 19 + 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.
8 + 3x + -2x = 19 + 2x + -2x

Combine like terms: 3x + -2x = 1x
8 + 1x = 19 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 1x = 19 + 0
8 + 1x = 19

Add '-8' to each side of the equation.
8 + -8 + 1x = 19 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 19 + -8
1x = 19 + -8

Combine like terms: 19 + -8 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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