x+7=5(4x-3)

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


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

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

Reorder the terms:
7 + x = 5(-3 + 4x)
7 + x = (-3 * 5 + 4x * 5)
7 + x = (-15 + 20x)

Solving
7 + x = -15 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
7 + x + -20x = -15 + 20x + -20x

Combine like terms: x + -20x = -19x
7 + -19x = -15 + 20x + -20x

Combine like terms: 20x + -20x = 0
7 + -19x = -15 + 0
7 + -19x = -15

Add '-7' to each side of the equation.
7 + -7 + -19x = -15 + -7

Combine like terms: 7 + -7 = 0
0 + -19x = -15 + -7
-19x = -15 + -7

Combine like terms: -15 + -7 = -22
-19x = -22

Divide each side by '-19'.
x = 1.157894737

Simplifying
x = 1.157894737

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