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

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


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

Reorder the terms:
3(-6 + x) + 7 = -2(x + -4)
(-6 * 3 + x * 3) + 7 = -2(x + -4)
(-18 + 3x) + 7 = -2(x + -4)

Reorder the terms:
-18 + 7 + 3x = -2(x + -4)

Combine like terms: -18 + 7 = -11
-11 + 3x = -2(x + -4)

Reorder the terms:
-11 + 3x = -2(-4 + x)
-11 + 3x = (-4 * -2 + x * -2)
-11 + 3x = (8 + -2x)

Solving
-11 + 3x = 8 + -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.
-11 + 3x + 2x = 8 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-11 + 5x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-11 + 5x = 8 + 0
-11 + 5x = 8

Add '11' to each side of the equation.
-11 + 11 + 5x = 8 + 11

Combine like terms: -11 + 11 = 0
0 + 5x = 8 + 11
5x = 8 + 11

Combine like terms: 8 + 11 = 19
5x = 19

Divide each side by '5'.
x = 3.8

Simplifying
x = 3.8

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