9-4(x+5)=2(7-3x)+1

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Solution for 9-4(x+5)=2(7-3x)+1 equation:


Simplifying
9 + -4(x + 5) = 2(7 + -3x) + 1

Reorder the terms:
9 + -4(5 + x) = 2(7 + -3x) + 1
9 + (5 * -4 + x * -4) = 2(7 + -3x) + 1
9 + (-20 + -4x) = 2(7 + -3x) + 1

Combine like terms: 9 + -20 = -11
-11 + -4x = 2(7 + -3x) + 1
-11 + -4x = (7 * 2 + -3x * 2) + 1
-11 + -4x = (14 + -6x) + 1

Reorder the terms:
-11 + -4x = 14 + 1 + -6x

Combine like terms: 14 + 1 = 15
-11 + -4x = 15 + -6x

Solving
-11 + -4x = 15 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-11 + -4x + 6x = 15 + -6x + 6x

Combine like terms: -4x + 6x = 2x
-11 + 2x = 15 + -6x + 6x

Combine like terms: -6x + 6x = 0
-11 + 2x = 15 + 0
-11 + 2x = 15

Add '11' to each side of the equation.
-11 + 11 + 2x = 15 + 11

Combine like terms: -11 + 11 = 0
0 + 2x = 15 + 11
2x = 15 + 11

Combine like terms: 15 + 11 = 26
2x = 26

Divide each side by '2'.
x = 13

Simplifying
x = 13

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