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

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


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

Reorder the terms:
2x + 4(5 + x) = 3x + -7
2x + (5 * 4 + x * 4) = 3x + -7
2x + (20 + 4x) = 3x + -7

Reorder the terms:
20 + 2x + 4x = 3x + -7

Combine like terms: 2x + 4x = 6x
20 + 6x = 3x + -7

Reorder the terms:
20 + 6x = -7 + 3x

Solving
20 + 6x = -7 + 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.
20 + 6x + -3x = -7 + 3x + -3x

Combine like terms: 6x + -3x = 3x
20 + 3x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + 3x = -7 + 0
20 + 3x = -7

Add '-20' to each side of the equation.
20 + -20 + 3x = -7 + -20

Combine like terms: 20 + -20 = 0
0 + 3x = -7 + -20
3x = -7 + -20

Combine like terms: -7 + -20 = -27
3x = -27

Divide each side by '3'.
x = -9

Simplifying
x = -9

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