4(x-2.5)=3(x+4)

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Solution for 4(x-2.5)=3(x+4) equation:


Simplifying
4(x + -2.5) = 3(x + 4)

Reorder the terms:
4(-2.5 + x) = 3(x + 4)
(-2.5 * 4 + x * 4) = 3(x + 4)
(-10 + 4x) = 3(x + 4)

Reorder the terms:
-10 + 4x = 3(4 + x)
-10 + 4x = (4 * 3 + x * 3)
-10 + 4x = (12 + 3x)

Solving
-10 + 4x = 12 + 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.
-10 + 4x + -3x = 12 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-10 + 1x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 1x = 12 + 0
-10 + 1x = 12

Add '10' to each side of the equation.
-10 + 10 + 1x = 12 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = 12 + 10
1x = 12 + 10

Combine like terms: 12 + 10 = 22
1x = 22

Divide each side by '1'.
x = 22

Simplifying
x = 22

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