5(3x-7)+2=7x+7

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


Simplifying
5(3x + -7) + 2 = 7x + 7

Reorder the terms:
5(-7 + 3x) + 2 = 7x + 7
(-7 * 5 + 3x * 5) + 2 = 7x + 7
(-35 + 15x) + 2 = 7x + 7

Reorder the terms:
-35 + 2 + 15x = 7x + 7

Combine like terms: -35 + 2 = -33
-33 + 15x = 7x + 7

Reorder the terms:
-33 + 15x = 7 + 7x

Solving
-33 + 15x = 7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-33 + 15x + -7x = 7 + 7x + -7x

Combine like terms: 15x + -7x = 8x
-33 + 8x = 7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-33 + 8x = 7 + 0
-33 + 8x = 7

Add '33' to each side of the equation.
-33 + 33 + 8x = 7 + 33

Combine like terms: -33 + 33 = 0
0 + 8x = 7 + 33
8x = 7 + 33

Combine like terms: 7 + 33 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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