4x+3x-7=60-2(x-13)

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Solution for 4x+3x-7=60-2(x-13) equation:


Simplifying
4x + 3x + -7 = 60 + -2(x + -13)

Reorder the terms:
-7 + 4x + 3x = 60 + -2(x + -13)

Combine like terms: 4x + 3x = 7x
-7 + 7x = 60 + -2(x + -13)

Reorder the terms:
-7 + 7x = 60 + -2(-13 + x)
-7 + 7x = 60 + (-13 * -2 + x * -2)
-7 + 7x = 60 + (26 + -2x)

Combine like terms: 60 + 26 = 86
-7 + 7x = 86 + -2x

Solving
-7 + 7x = 86 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-7 + 7x + 2x = 86 + -2x + 2x

Combine like terms: 7x + 2x = 9x
-7 + 9x = 86 + -2x + 2x

Combine like terms: -2x + 2x = 0
-7 + 9x = 86 + 0
-7 + 9x = 86

Add '7' to each side of the equation.
-7 + 7 + 9x = 86 + 7

Combine like terms: -7 + 7 = 0
0 + 9x = 86 + 7
9x = 86 + 7

Combine like terms: 86 + 7 = 93
9x = 93

Divide each side by '9'.
x = 10.33333333

Simplifying
x = 10.33333333

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