2x+5-4(1x+3)=-3(1x-3)

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Solution for 2x+5-4(1x+3)=-3(1x-3) equation:


Simplifying
2x + 5 + -4(1x + 3) = -3(1x + -3)

Reorder the terms:
2x + 5 + -4(3 + 1x) = -3(1x + -3)
2x + 5 + (3 * -4 + 1x * -4) = -3(1x + -3)
2x + 5 + (-12 + -4x) = -3(1x + -3)

Reorder the terms:
5 + -12 + 2x + -4x = -3(1x + -3)

Combine like terms: 5 + -12 = -7
-7 + 2x + -4x = -3(1x + -3)

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

Reorder the terms:
-7 + -2x = -3(-3 + 1x)
-7 + -2x = (-3 * -3 + 1x * -3)
-7 + -2x = (9 + -3x)

Solving
-7 + -2x = 9 + -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.
-7 + -2x + 3x = 9 + -3x + 3x

Combine like terms: -2x + 3x = 1x
-7 + 1x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
-7 + 1x = 9 + 0
-7 + 1x = 9

Add '7' to each side of the equation.
-7 + 7 + 1x = 9 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = 9 + 7
1x = 9 + 7

Combine like terms: 9 + 7 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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