4(2x-5)+15=3(x+10)

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Solution for 4(2x-5)+15=3(x+10) equation:


Simplifying
4(2x + -5) + 15 = 3(x + 10)

Reorder the terms:
4(-5 + 2x) + 15 = 3(x + 10)
(-5 * 4 + 2x * 4) + 15 = 3(x + 10)
(-20 + 8x) + 15 = 3(x + 10)

Reorder the terms:
-20 + 15 + 8x = 3(x + 10)

Combine like terms: -20 + 15 = -5
-5 + 8x = 3(x + 10)

Reorder the terms:
-5 + 8x = 3(10 + x)
-5 + 8x = (10 * 3 + x * 3)
-5 + 8x = (30 + 3x)

Solving
-5 + 8x = 30 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-5 + 8x + -3x = 30 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-5 + 5x = 30 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 5x = 30 + 0
-5 + 5x = 30

Add '5' to each side of the equation.
-5 + 5 + 5x = 30 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = 30 + 5
5x = 30 + 5

Combine like terms: 30 + 5 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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