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

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


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

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

Combine like terms: 7 + -6 = 1
1 + -3x = 2(x + -4)

Reorder the terms:
1 + -3x = 2(-4 + x)
1 + -3x = (-4 * 2 + x * 2)
1 + -3x = (-8 + 2x)

Solving
1 + -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.
1 + -3x + -2x = -8 + 2x + -2x

Combine like terms: -3x + -2x = -5x
1 + -5x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + -5x = -8 + 0
1 + -5x = -8

Add '-1' to each side of the equation.
1 + -1 + -5x = -8 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = -8 + -1
-5x = -8 + -1

Combine like terms: -8 + -1 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8

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