5(2x-7)=4x+3x+10

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Solution for 5(2x-7)=4x+3x+10 equation:


Simplifying
5(2x + -7) = 4x + 3x + 10

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

Reorder the terms:
-35 + 10x = 10 + 4x + 3x

Combine like terms: 4x + 3x = 7x
-35 + 10x = 10 + 7x

Solving
-35 + 10x = 10 + 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.
-35 + 10x + -7x = 10 + 7x + -7x

Combine like terms: 10x + -7x = 3x
-35 + 3x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0
-35 + 3x = 10 + 0
-35 + 3x = 10

Add '35' to each side of the equation.
-35 + 35 + 3x = 10 + 35

Combine like terms: -35 + 35 = 0
0 + 3x = 10 + 35
3x = 10 + 35

Combine like terms: 10 + 35 = 45
3x = 45

Divide each side by '3'.
x = 15

Simplifying
x = 15

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