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

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


Simplifying
3(x + -2) + -7 = 3 + -1(4 + x)

Reorder the terms:
3(-2 + x) + -7 = 3 + -1(4 + x)
(-2 * 3 + x * 3) + -7 = 3 + -1(4 + x)
(-6 + 3x) + -7 = 3 + -1(4 + x)

Reorder the terms:
-6 + -7 + 3x = 3 + -1(4 + x)

Combine like terms: -6 + -7 = -13
-13 + 3x = 3 + -1(4 + x)
-13 + 3x = 3 + (4 * -1 + x * -1)
-13 + 3x = 3 + (-4 + -1x)

Combine like terms: 3 + -4 = -1
-13 + 3x = -1 + -1x

Solving
-13 + 3x = -1 + -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.
-13 + 3x + x = -1 + -1x + x

Combine like terms: 3x + x = 4x
-13 + 4x = -1 + -1x + x

Combine like terms: -1x + x = 0
-13 + 4x = -1 + 0
-13 + 4x = -1

Add '13' to each side of the equation.
-13 + 13 + 4x = -1 + 13

Combine like terms: -13 + 13 = 0
0 + 4x = -1 + 13
4x = -1 + 13

Combine like terms: -1 + 13 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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