5(2x-7)=33-3(6x+4)

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Solution for 5(2x-7)=33-3(6x+4) equation:


Simplifying
5(2x + -7) = 33 + -3(6x + 4)

Reorder the terms:
5(-7 + 2x) = 33 + -3(6x + 4)
(-7 * 5 + 2x * 5) = 33 + -3(6x + 4)
(-35 + 10x) = 33 + -3(6x + 4)

Reorder the terms:
-35 + 10x = 33 + -3(4 + 6x)
-35 + 10x = 33 + (4 * -3 + 6x * -3)
-35 + 10x = 33 + (-12 + -18x)

Combine like terms: 33 + -12 = 21
-35 + 10x = 21 + -18x

Solving
-35 + 10x = 21 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
-35 + 10x + 18x = 21 + -18x + 18x

Combine like terms: 10x + 18x = 28x
-35 + 28x = 21 + -18x + 18x

Combine like terms: -18x + 18x = 0
-35 + 28x = 21 + 0
-35 + 28x = 21

Add '35' to each side of the equation.
-35 + 35 + 28x = 21 + 35

Combine like terms: -35 + 35 = 0
0 + 28x = 21 + 35
28x = 21 + 35

Combine like terms: 21 + 35 = 56
28x = 56

Divide each side by '28'.
x = 2

Simplifying
x = 2

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