3(x-7)+18=x-2(x+4)

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Solution for 3(x-7)+18=x-2(x+4) equation:


Simplifying
3(x + -7) + 18 = x + -2(x + 4)

Reorder the terms:
3(-7 + x) + 18 = x + -2(x + 4)
(-7 * 3 + x * 3) + 18 = x + -2(x + 4)
(-21 + 3x) + 18 = x + -2(x + 4)

Reorder the terms:
-21 + 18 + 3x = x + -2(x + 4)

Combine like terms: -21 + 18 = -3
-3 + 3x = x + -2(x + 4)

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

Reorder the terms:
-3 + 3x = -8 + x + -2x

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

Solving
-3 + 3x = -8 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
-3 + 3x + x = -8 + -1x + x

Combine like terms: 3x + x = 4x
-3 + 4x = -8 + -1x + x

Combine like terms: -1x + x = 0
-3 + 4x = -8 + 0
-3 + 4x = -8

Add '3' to each side of the equation.
-3 + 3 + 4x = -8 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = -8 + 3
4x = -8 + 3

Combine like terms: -8 + 3 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25

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