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

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


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

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

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

Reorder the terms:
-20 + 7 + 4x + 2x = 9 + -2(4x + 4)

Combine like terms: -20 + 7 = -13
-13 + 4x + 2x = 9 + -2(4x + 4)

Combine like terms: 4x + 2x = 6x
-13 + 6x = 9 + -2(4x + 4)

Reorder the terms:
-13 + 6x = 9 + -2(4 + 4x)
-13 + 6x = 9 + (4 * -2 + 4x * -2)
-13 + 6x = 9 + (-8 + -8x)

Combine like terms: 9 + -8 = 1
-13 + 6x = 1 + -8x

Solving
-13 + 6x = 1 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-13 + 6x + 8x = 1 + -8x + 8x

Combine like terms: 6x + 8x = 14x
-13 + 14x = 1 + -8x + 8x

Combine like terms: -8x + 8x = 0
-13 + 14x = 1 + 0
-13 + 14x = 1

Add '13' to each side of the equation.
-13 + 13 + 14x = 1 + 13

Combine like terms: -13 + 13 = 0
0 + 14x = 1 + 13
14x = 1 + 13

Combine like terms: 1 + 13 = 14
14x = 14

Divide each side by '14'.
x = 1

Simplifying
x = 1

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