7(2.5)x+12=4(2.5)x+49

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Solution for 7(2.5)x+12=4(2.5)x+49 equation:


Simplifying
7(2.5) * x + 12 = 4(2.5) * x + 49

Multiply 7 * 2.5
17.5x + 12 = 4(2.5) * x + 49

Reorder the terms:
12 + 17.5x = 4(2.5) * x + 49

Multiply 4 * 2.5
12 + 17.5x = 10x + 49

Reorder the terms:
12 + 17.5x = 49 + 10x

Solving
12 + 17.5x = 49 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
12 + 17.5x + -10x = 49 + 10x + -10x

Combine like terms: 17.5x + -10x = 7.5x
12 + 7.5x = 49 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + 7.5x = 49 + 0
12 + 7.5x = 49

Add '-12' to each side of the equation.
12 + -12 + 7.5x = 49 + -12

Combine like terms: 12 + -12 = 0
0 + 7.5x = 49 + -12
7.5x = 49 + -12

Combine like terms: 49 + -12 = 37
7.5x = 37

Divide each side by '7.5'.
x = 4.933333333

Simplifying
x = 4.933333333

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