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

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


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

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

Combine like terms: 4x + -3x = 1x
7 + 1x = 2(x + -5)

Reorder the terms:
7 + 1x = 2(-5 + x)
7 + 1x = (-5 * 2 + x * 2)
7 + 1x = (-10 + 2x)

Solving
7 + 1x = -10 + 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 + 1x + -2x = -10 + 2x + -2x

Combine like terms: 1x + -2x = -1x
7 + -1x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -1x = -10 + 0
7 + -1x = -10

Add '-7' to each side of the equation.
7 + -7 + -1x = -10 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = -10 + -7
-1x = -10 + -7

Combine like terms: -10 + -7 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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