9-2(3x+5)=4x+3x-7

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Solution for 9-2(3x+5)=4x+3x-7 equation:


Simplifying
9 + -2(3x + 5) = 4x + 3x + -7

Reorder the terms:
9 + -2(5 + 3x) = 4x + 3x + -7
9 + (5 * -2 + 3x * -2) = 4x + 3x + -7
9 + (-10 + -6x) = 4x + 3x + -7

Combine like terms: 9 + -10 = -1
-1 + -6x = 4x + 3x + -7

Reorder the terms:
-1 + -6x = -7 + 4x + 3x

Combine like terms: 4x + 3x = 7x
-1 + -6x = -7 + 7x

Solving
-1 + -6x = -7 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
-1 + -6x + -7x = -7 + 7x + -7x

Combine like terms: -6x + -7x = -13x
-1 + -13x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-1 + -13x = -7 + 0
-1 + -13x = -7

Add '1' to each side of the equation.
-1 + 1 + -13x = -7 + 1

Combine like terms: -1 + 1 = 0
0 + -13x = -7 + 1
-13x = -7 + 1

Combine like terms: -7 + 1 = -6
-13x = -6

Divide each side by '-13'.
x = 0.4615384615

Simplifying
x = 0.4615384615

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