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

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


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

Reorder the terms:
4(-3 + 2x) = 7(x + 5)
(-3 * 4 + 2x * 4) = 7(x + 5)
(-12 + 8x) = 7(x + 5)

Reorder the terms:
-12 + 8x = 7(5 + x)
-12 + 8x = (5 * 7 + x * 7)
-12 + 8x = (35 + 7x)

Solving
-12 + 8x = 35 + 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.
-12 + 8x + -7x = 35 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-12 + 1x = 35 + 7x + -7x

Combine like terms: 7x + -7x = 0
-12 + 1x = 35 + 0
-12 + 1x = 35

Add '12' to each side of the equation.
-12 + 12 + 1x = 35 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = 35 + 12
1x = 35 + 12

Combine like terms: 35 + 12 = 47
1x = 47

Divide each side by '1'.
x = 47

Simplifying
x = 47

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