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

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


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

Reorder the terms:
2(-7 + x) + -4 = -3(x + 2) + 3
(-7 * 2 + x * 2) + -4 = -3(x + 2) + 3
(-14 + 2x) + -4 = -3(x + 2) + 3

Reorder the terms:
-14 + -4 + 2x = -3(x + 2) + 3

Combine like terms: -14 + -4 = -18
-18 + 2x = -3(x + 2) + 3

Reorder the terms:
-18 + 2x = -3(2 + x) + 3
-18 + 2x = (2 * -3 + x * -3) + 3
-18 + 2x = (-6 + -3x) + 3

Reorder the terms:
-18 + 2x = -6 + 3 + -3x

Combine like terms: -6 + 3 = -3
-18 + 2x = -3 + -3x

Solving
-18 + 2x = -3 + -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.
-18 + 2x + 3x = -3 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-18 + 5x = -3 + -3x + 3x

Combine like terms: -3x + 3x = 0
-18 + 5x = -3 + 0
-18 + 5x = -3

Add '18' to each side of the equation.
-18 + 18 + 5x = -3 + 18

Combine like terms: -18 + 18 = 0
0 + 5x = -3 + 18
5x = -3 + 18

Combine like terms: -3 + 18 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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