5+4(x-3)=11-6(x-9)

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Solution for 5+4(x-3)=11-6(x-9) equation:


Simplifying
5 + 4(x + -3) = 11 + -6(x + -9)

Reorder the terms:
5 + 4(-3 + x) = 11 + -6(x + -9)
5 + (-3 * 4 + x * 4) = 11 + -6(x + -9)
5 + (-12 + 4x) = 11 + -6(x + -9)

Combine like terms: 5 + -12 = -7
-7 + 4x = 11 + -6(x + -9)

Reorder the terms:
-7 + 4x = 11 + -6(-9 + x)
-7 + 4x = 11 + (-9 * -6 + x * -6)
-7 + 4x = 11 + (54 + -6x)

Combine like terms: 11 + 54 = 65
-7 + 4x = 65 + -6x

Solving
-7 + 4x = 65 + -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.
-7 + 4x + 6x = 65 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-7 + 10x = 65 + -6x + 6x

Combine like terms: -6x + 6x = 0
-7 + 10x = 65 + 0
-7 + 10x = 65

Add '7' to each side of the equation.
-7 + 7 + 10x = 65 + 7

Combine like terms: -7 + 7 = 0
0 + 10x = 65 + 7
10x = 65 + 7

Combine like terms: 65 + 7 = 72
10x = 72

Divide each side by '10'.
x = 7.2

Simplifying
x = 7.2

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