2x-3(4x+7)=3x+5

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Solution for 2x-3(4x+7)=3x+5 equation:


Simplifying
2x + -3(4x + 7) = 3x + 5

Reorder the terms:
2x + -3(7 + 4x) = 3x + 5
2x + (7 * -3 + 4x * -3) = 3x + 5
2x + (-21 + -12x) = 3x + 5

Reorder the terms:
-21 + 2x + -12x = 3x + 5

Combine like terms: 2x + -12x = -10x
-21 + -10x = 3x + 5

Reorder the terms:
-21 + -10x = 5 + 3x

Solving
-21 + -10x = 5 + 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.
-21 + -10x + -3x = 5 + 3x + -3x

Combine like terms: -10x + -3x = -13x
-21 + -13x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-21 + -13x = 5 + 0
-21 + -13x = 5

Add '21' to each side of the equation.
-21 + 21 + -13x = 5 + 21

Combine like terms: -21 + 21 = 0
0 + -13x = 5 + 21
-13x = 5 + 21

Combine like terms: 5 + 21 = 26
-13x = 26

Divide each side by '-13'.
x = -2

Simplifying
x = -2

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