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

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Solution for 2(x-3)+5=-3(1-x)+7 equation:


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

Reorder the terms:
2(-3 + x) + 5 = -3(1 + -1x) + 7
(-3 * 2 + x * 2) + 5 = -3(1 + -1x) + 7
(-6 + 2x) + 5 = -3(1 + -1x) + 7

Reorder the terms:
-6 + 5 + 2x = -3(1 + -1x) + 7

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

Reorder the terms:
-1 + 2x = -3 + 7 + 3x

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

Solving
-1 + 2x = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1 + 2x + -3x = 4 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-1 + -1x = 4 + 3x + -3x

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

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

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

Combine like terms: 4 + 1 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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