-3(x+6)+3=7+2(x-14)

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Solution for -3(x+6)+3=7+2(x-14) equation:


Simplifying
-3(x + 6) + 3 = 7 + 2(x + -14)

Reorder the terms:
-3(6 + x) + 3 = 7 + 2(x + -14)
(6 * -3 + x * -3) + 3 = 7 + 2(x + -14)
(-18 + -3x) + 3 = 7 + 2(x + -14)

Reorder the terms:
-18 + 3 + -3x = 7 + 2(x + -14)

Combine like terms: -18 + 3 = -15
-15 + -3x = 7 + 2(x + -14)

Reorder the terms:
-15 + -3x = 7 + 2(-14 + x)
-15 + -3x = 7 + (-14 * 2 + x * 2)
-15 + -3x = 7 + (-28 + 2x)

Combine like terms: 7 + -28 = -21
-15 + -3x = -21 + 2x

Solving
-15 + -3x = -21 + 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.
-15 + -3x + -2x = -21 + 2x + -2x

Combine like terms: -3x + -2x = -5x
-15 + -5x = -21 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + -5x = -21 + 0
-15 + -5x = -21

Add '15' to each side of the equation.
-15 + 15 + -5x = -21 + 15

Combine like terms: -15 + 15 = 0
0 + -5x = -21 + 15
-5x = -21 + 15

Combine like terms: -21 + 15 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2

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