4x+3(x-2)=5x-20

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Solution for 4x+3(x-2)=5x-20 equation:


Simplifying
4x + 3(x + -2) = 5x + -20

Reorder the terms:
4x + 3(-2 + x) = 5x + -20
4x + (-2 * 3 + x * 3) = 5x + -20
4x + (-6 + 3x) = 5x + -20

Reorder the terms:
-6 + 4x + 3x = 5x + -20

Combine like terms: 4x + 3x = 7x
-6 + 7x = 5x + -20

Reorder the terms:
-6 + 7x = -20 + 5x

Solving
-6 + 7x = -20 + 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.
-6 + 7x + -5x = -20 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-6 + 2x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + 2x = -20 + 0
-6 + 2x = -20

Add '6' to each side of the equation.
-6 + 6 + 2x = -20 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = -20 + 6
2x = -20 + 6

Combine like terms: -20 + 6 = -14
2x = -14

Divide each side by '2'.
x = -7

Simplifying
x = -7

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