4x-3-3(2x-7)=4x+9+5(2x-13)

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Solution for 4x-3-3(2x-7)=4x+9+5(2x-13) equation:


Simplifying
4x + -3 + -3(2x + -7) = 4x + 9 + 5(2x + -13)

Reorder the terms:
4x + -3 + -3(-7 + 2x) = 4x + 9 + 5(2x + -13)
4x + -3 + (-7 * -3 + 2x * -3) = 4x + 9 + 5(2x + -13)
4x + -3 + (21 + -6x) = 4x + 9 + 5(2x + -13)

Reorder the terms:
-3 + 21 + 4x + -6x = 4x + 9 + 5(2x + -13)

Combine like terms: -3 + 21 = 18
18 + 4x + -6x = 4x + 9 + 5(2x + -13)

Combine like terms: 4x + -6x = -2x
18 + -2x = 4x + 9 + 5(2x + -13)

Reorder the terms:
18 + -2x = 4x + 9 + 5(-13 + 2x)
18 + -2x = 4x + 9 + (-13 * 5 + 2x * 5)
18 + -2x = 4x + 9 + (-65 + 10x)

Reorder the terms:
18 + -2x = 9 + -65 + 4x + 10x

Combine like terms: 9 + -65 = -56
18 + -2x = -56 + 4x + 10x

Combine like terms: 4x + 10x = 14x
18 + -2x = -56 + 14x

Solving
18 + -2x = -56 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
18 + -2x + -14x = -56 + 14x + -14x

Combine like terms: -2x + -14x = -16x
18 + -16x = -56 + 14x + -14x

Combine like terms: 14x + -14x = 0
18 + -16x = -56 + 0
18 + -16x = -56

Add '-18' to each side of the equation.
18 + -18 + -16x = -56 + -18

Combine like terms: 18 + -18 = 0
0 + -16x = -56 + -18
-16x = -56 + -18

Combine like terms: -56 + -18 = -74
-16x = -74

Divide each side by '-16'.
x = 4.625

Simplifying
x = 4.625

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