4(x+-3)+5=9(x+-5)+-6(x+-7)

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Solution for 4(x+-3)+5=9(x+-5)+-6(x+-7) equation:


Simplifying
4(x + -3) + 5 = 9(x + -5) + -6(x + -7)

Reorder the terms:
4(-3 + x) + 5 = 9(x + -5) + -6(x + -7)
(-3 * 4 + x * 4) + 5 = 9(x + -5) + -6(x + -7)
(-12 + 4x) + 5 = 9(x + -5) + -6(x + -7)

Reorder the terms:
-12 + 5 + 4x = 9(x + -5) + -6(x + -7)

Combine like terms: -12 + 5 = -7
-7 + 4x = 9(x + -5) + -6(x + -7)

Reorder the terms:
-7 + 4x = 9(-5 + x) + -6(x + -7)
-7 + 4x = (-5 * 9 + x * 9) + -6(x + -7)
-7 + 4x = (-45 + 9x) + -6(x + -7)

Reorder the terms:
-7 + 4x = -45 + 9x + -6(-7 + x)
-7 + 4x = -45 + 9x + (-7 * -6 + x * -6)
-7 + 4x = -45 + 9x + (42 + -6x)

Reorder the terms:
-7 + 4x = -45 + 42 + 9x + -6x

Combine like terms: -45 + 42 = -3
-7 + 4x = -3 + 9x + -6x

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

Solving
-7 + 4x = -3 + 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.
-7 + 4x + -3x = -3 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-7 + 1x = -3 + 0
-7 + 1x = -3

Add '7' to each side of the equation.
-7 + 7 + 1x = -3 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = -3 + 7
1x = -3 + 7

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

Divide each side by '1'.
x = 4

Simplifying
x = 4

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