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

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


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

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

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

Combine like terms: 7 + 12 = 19
-12 + 4x = 19 + 2x

Solving
-12 + 4x = 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.
-12 + 4x + -2x = 19 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-12 + 2x = 19 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 2x = 19 + 0
-12 + 2x = 19

Add '12' to each side of the equation.
-12 + 12 + 2x = 19 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 19 + 12
2x = 19 + 12

Combine like terms: 19 + 12 = 31
2x = 31

Divide each side by '2'.
x = 15.5

Simplifying
x = 15.5

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