3(x-3)+4x+7=5x-3

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Solution for 3(x-3)+4x+7=5x-3 equation:


Simplifying
3(x + -3) + 4x + 7 = 5x + -3

Reorder the terms:
3(-3 + x) + 4x + 7 = 5x + -3
(-3 * 3 + x * 3) + 4x + 7 = 5x + -3
(-9 + 3x) + 4x + 7 = 5x + -3

Reorder the terms:
-9 + 7 + 3x + 4x = 5x + -3

Combine like terms: -9 + 7 = -2
-2 + 3x + 4x = 5x + -3

Combine like terms: 3x + 4x = 7x
-2 + 7x = 5x + -3

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

Solving
-2 + 7x = -3 + 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.
-2 + 7x + -5x = -3 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-2 + 2x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + 2x = -3 + 0
-2 + 2x = -3

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

Combine like terms: -2 + 2 = 0
0 + 2x = -3 + 2
2x = -3 + 2

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

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