3x-[-(-2)]x+(-3)(x+2)=5x+(-7)

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Solution for 3x-[-(-2)]x+(-3)(x+2)=5x+(-7) equation:


Simplifying
3x + -1[-1(-2)] * x + (-3)(x + 2) = 5x + (-7)

Multiply -1 * -2
3x + -1[2] * x + (-3)(x + 2) = 5x + (-7)

Multiply -1 * 2
3x + -2x + (-3)(x + 2) = 5x + (-7)

Reorder the terms:
3x + -2x + -3(2 + x) = 5x + (-7)
3x + -2x + (2 * -3 + x * -3) = 5x + (-7)
3x + -2x + (-6 + -3x) = 5x + (-7)

Reorder the terms:
-6 + 3x + -2x + -3x = 5x + (-7)

Combine like terms: 3x + -2x = 1x
-6 + 1x + -3x = 5x + (-7)

Combine like terms: 1x + -3x = -2x
-6 + -2x = 5x + (-7)
-6 + -2x = 5x + -7

Reorder the terms:
-6 + -2x = -7 + 5x

Solving
-6 + -2x = -7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + -2x + -5x = -7 + 5x + -5x

Combine like terms: -2x + -5x = -7x
-6 + -7x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -7x = -7 + 0
-6 + -7x = -7

Add '6' to each side of the equation.
-6 + 6 + -7x = -7 + 6

Combine like terms: -6 + 6 = 0
0 + -7x = -7 + 6
-7x = -7 + 6

Combine like terms: -7 + 6 = -1
-7x = -1

Divide each side by '-7'.
x = 0.1428571429

Simplifying
x = 0.1428571429

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