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

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


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

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

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

Reorder the terms:
-7 + 5x = 4(-3 + 2x)
-7 + 5x = (-3 * 4 + 2x * 4)
-7 + 5x = (-12 + 8x)

Solving
-7 + 5x = -12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-7 + 5x + -8x = -12 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-7 + -3x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-7 + -3x = -12 + 0
-7 + -3x = -12

Add '7' to each side of the equation.
-7 + 7 + -3x = -12 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = -12 + 7
-3x = -12 + 7

Combine like terms: -12 + 7 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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