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

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


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

Reorder the terms:
5(-7 + 3x) = 4(2x + 7)
(-7 * 5 + 3x * 5) = 4(2x + 7)
(-35 + 15x) = 4(2x + 7)

Reorder the terms:
-35 + 15x = 4(7 + 2x)
-35 + 15x = (7 * 4 + 2x * 4)
-35 + 15x = (28 + 8x)

Solving
-35 + 15x = 28 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-35 + 15x + -8x = 28 + 8x + -8x

Combine like terms: 15x + -8x = 7x
-35 + 7x = 28 + 8x + -8x

Combine like terms: 8x + -8x = 0
-35 + 7x = 28 + 0
-35 + 7x = 28

Add '35' to each side of the equation.
-35 + 35 + 7x = 28 + 35

Combine like terms: -35 + 35 = 0
0 + 7x = 28 + 35
7x = 28 + 35

Combine like terms: 28 + 35 = 63
7x = 63

Divide each side by '7'.
x = 9

Simplifying
x = 9

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